diff --git a/mesonbuild/modules/gnome.py b/mesonbuild/modules/gnome.py
index e2333a8dd..f3baeca21 100644
--- a/mesonbuild/modules/gnome.py
+++ b/mesonbuild/modules/gnome.py
@@ -477,8 +477,6 @@ class GnomeModule:
         if len(args) != 1:
             raise MesonException('Mkenums requires one positional argument.')
         basename = args[0]
-        c_target_name = basename + '_c'
-        h_target_hame = basename + '_h'
 
         if 'sources' not in kwargs:
             raise MesonException('Missing keyword argument "sources".')
@@ -511,30 +509,57 @@ class GnomeModule:
             elif arg not in known_custom_target_kwargs:
                 raise MesonException(
                     'Mkenums does not take a %s keyword argument.' % (arg, ))
-        if c_template is None or h_template is None:
-            raise MesonException('Must specify both a C and H template.')
-        # We always set template as the first element in the source array so
-        # --template consumes it.
-        cmd = ['glib-mkenums', '--template', '@INPUT@'] + cmd
+        cmd = ['glib-mkenums'] + cmd
         custom_kwargs = {}
         for arg in known_custom_target_kwargs:
             if arg in kwargs:
                 custom_kwargs[arg] = kwargs[arg]
 
-        c_output = os.path.splitext(c_template)[0]
-        h_output = os.path.splitext(h_template)[0]
-
-        c_sources = [c_template] + sources
-        h_sources = [h_template] + sources
-
-        custom_kwargs['install'] = install_header
-        if 'install_dir' not in custom_kwargs:
-            custom_kwargs['install_dir'] = state.environment.coredata.get_builtin_option('includedir')
-        h_target = self.make_mkenum_custom_target(state, h_sources, h_output, cmd, custom_kwargs)
-        custom_kwargs['install'] = False # Never install the C file. Complain on bug tracker if you need this.
-        custom_kwargs['depends'] = h_target
-        c_target = self.make_mkenum_custom_target(state, c_sources, c_output, cmd, custom_kwargs)
-        return [c_target, h_target]
+        targets = []
+
+        if h_template is not None:
+            h_output = os.path.splitext(h_template)[0]
+            # We always set template as the first element in the source array
+            # so --template consumes it.
+            h_cmd = cmd + ['--template', '@INPUT@']
+            h_sources = [h_template] + sources
+            custom_kwargs['install'] = install_header
+            if 'install_dir' not in custom_kwargs:
+                custom_kwargs['install_dir'] = \
+                    state.environment.coredata.get_builtin_option('includedir')
+            h_target = self.make_mkenum_custom_target(state, h_sources,
+                                                      h_output, h_cmd,
+                                                      custom_kwargs)
+            targets.append(h_target)
+
+        if c_template is not None:
+            c_output = os.path.splitext(c_template)[0]
+            # We always set template as the first element in the source array
+            # so --template consumes it.
+            c_cmd = cmd + ['--template', '@INPUT@']
+            c_sources = [c_template] + sources
+            # Never install the C file. Complain on bug tracker if you need it.
+            custom_kwargs['install'] = False
+            if h_template is not None:
+                custom_kwargs['depends'] = h_target
+            c_target = self.make_mkenum_custom_target(state, c_sources,
+                                                      c_output, c_cmd,
+                                                      custom_kwargs)
+            targets.insert(0, c_target)
+
+        if c_template is None and h_template is None:
+            generic_cmd = cmd + ['@INPUT@']
+            custom_kwargs['install'] = install_header
+            if 'install_dir' not in custom_kwargs:
+                custom_kwargs['install_dir'] = \
+                    state.environment.coredata.get_builtin_option('includedir')
+            target = self.make_mkenum_custom_target(state, sources, basename,
+                                                    generic_cmd, custom_kwargs)
+            return target
+        elif len(targets) == 1:
+            return targets[0]
+        else:
+            return targets
 
     def make_mkenum_custom_target(self, state, sources, output, cmd, kwargs):
         custom_kwargs = {
diff --git a/test cases/frameworks/7 gnome/installed_files.txt b/test cases/frameworks/7 gnome/installed_files.txt
index ad802a0c8..c922f8baf 100644
--- a/test cases/frameworks/7 gnome/installed_files.txt	
+++ b/test cases/frameworks/7 gnome/installed_files.txt	
@@ -1,4 +1,6 @@
 usr/include/enums.h
+usr/include/enums2.h
+usr/include/enums3.h
 usr/include/marshaller.h
 usr/lib/girepository-1.0/Meson-1.0.typelib
 usr/lib/libgirlib.so
diff --git a/test cases/frameworks/7 gnome/mkenums/enums2.c.in b/test cases/frameworks/7 gnome/mkenums/enums2.c.in
new file mode 100644
index 000000000..62e1adcb4
--- /dev/null
+++ b/test cases/frameworks/7 gnome/mkenums/enums2.c.in	
@@ -0,0 +1,41 @@
+/*** BEGIN file-header ***/
+
+#include "enums.h"
+
+/*** END file-header ***/
+/*** BEGIN file-production ***/
+
+/* enumerations from "@basename@" */
+#include "@basename@"
+
+/*** END file-production ***/
+
+/*** BEGIN value-header ***/
+GType
+@enum_name@_get_type(void) {
+    static volatile gsize g_define_type_id__volatile = 0;
+
+    if(g_once_init_enter(&g_define_type_id__volatile)) {
+        static const G@Type@Value values [] = {
+/*** END value-header ***/
+
+/*** BEGIN value-production ***/
+            { @VALUENAME@, "@VALUENAME@", "@valuenick@" },
+/*** END value-production ***/
+
+/*** BEGIN value-tail ***/
+            { 0, NULL, NULL }
+        };
+
+        GType g_define_type_id =
+            g_@type@_register_static(g_intern_static_string("@EnumName@"), values);
+        g_once_init_leave(&g_define_type_id__volatile, g_define_type_id);
+    }
+
+    return g_define_type_id__volatile;
+}
+
+/*** END value-tail ***/
+
+/*** BEGIN file-tail ***/
+/*** END file-tail ***/
diff --git a/test cases/frameworks/7 gnome/mkenums/enums2.h.in b/test cases/frameworks/7 gnome/mkenums/enums2.h.in
new file mode 100644
index 000000000..479867fd1
--- /dev/null
+++ b/test cases/frameworks/7 gnome/mkenums/enums2.h.in	
@@ -0,0 +1,24 @@
+/*** BEGIN file-header ***/
+#ifndef MESON_ENUMS_H
+#define MESON_ENUMS_H
+
+#include <glib-object.h>
+
+G_BEGIN_DECLS
+/*** END file-header ***/
+
+/*** BEGIN file-production ***/
+
+/* enumerations from "@basename@" */
+/*** END file-production ***/
+/*** BEGIN value-header ***/
+GType @enum_name@_get_type(void) G_GNUC_CONST;
+#define @ENUMPREFIX@_TYPE_@ENUMSHORT@ (@enum_name@_get_type())
+/*** END value-header ***/
+
+/*** BEGIN file-tail ***/
+
+G_END_DECLS
+
+#endif /* MESON_ENUMS_H */
+/*** END file-tail ***/
diff --git a/test cases/frameworks/7 gnome/mkenums/main.c b/test cases/frameworks/7 gnome/mkenums/main.c
index 52e546175..d257185dd 100644
--- a/test cases/frameworks/7 gnome/mkenums/main.c	
+++ b/test cases/frameworks/7 gnome/mkenums/main.c	
@@ -2,7 +2,7 @@
 #include<string.h>
 #include<glib-object.h>
 #include"meson-sample.h"
-#include"enums.h"
+#include"@ENUM_FILE@"
 
 int main(int argc, char **argv) {
     GEnumClass *xenum = g_type_class_ref(MESON_TYPE_THE_XENUM);
diff --git a/test cases/frameworks/7 gnome/mkenums/meson.build b/test cases/frameworks/7 gnome/mkenums/meson.build
index dbb8793a7..f0989cf16 100644
--- a/test cases/frameworks/7 gnome/mkenums/meson.build	
+++ b/test cases/frameworks/7 gnome/mkenums/meson.build	
@@ -1,13 +1,118 @@
-myenums = gnome.mkenums('abc',
+# Generate both header and source via template together.
+
+myenums = gnome.mkenums('abc1',
   sources : 'meson-sample.h',
   h_template : 'enums.h.in',
   c_template : 'enums.c.in',
   install_header : true,
   install_dir : get_option('includedir'))
 
-enums_c = myenums[0]
-enums_h = myenums[1]
+enums_c1 = myenums[0]
+enums_h1 = myenums[1]
+
+conf = configuration_data()
+conf.set('ENUM_FILE', 'enums.h')
+main = configure_file(
+  input : 'main.c',
+  output : 'main1.c',
+  configuration : conf)
+
+enumexe1 = executable('enumprog1', main, enums_c1, enums_h1,
+dependencies : gobj)
+test('enum test 1', enumexe1)
+
+# Generate both header and source via template individually and overriding.
+
+enums_c2 = gnome.mkenums('abc2',
+  sources : 'meson-sample.h',
+  c_template : 'enums2.c.in',
+  ftail : '/* trailing source file info */',
+  install_header : true,
+  install_dir : get_option('includedir'))
+
+enums_h2 = gnome.mkenums('abc2',
+  sources : 'meson-sample.h',
+  h_template : 'enums2.h.in',
+  ftail : '/* trailing header file info */',
+  install_header : true,
+  install_dir : get_option('includedir'))
+
+conf = configuration_data()
+conf.set('ENUM_FILE', 'enums2.h')
+main = configure_file(
+  input : 'main.c',
+  output : 'main2.c',
+  configuration : conf)
+
+enumexe2 = executable('enumprog2', main, enums_c2, enums_h2,
+dependencies : gobj)
+test('enum test 2', enumexe2)
+
+# Generate both header and source by options only.
+# These are specified in a way that should produce the same result as above
+# (modulo any filename changes.)
+
+enums_h3 = gnome.mkenums('enums3.h',
+  sources : 'meson-sample.h',
+  fhead : '''#ifndef MESON_ENUMS_H
+#define MESON_ENUMS_H
+
+#include <glib-object.h>
+
+G_BEGIN_DECLS
+''',
+  fprod : '''
+/* enumerations from "@basename@" */
+''',
+  vhead : '''GType @enum_name@_get_type(void) G_GNUC_CONST;
+#define @ENUMPREFIX@_TYPE_@ENUMSHORT@ (@enum_name@_get_type())
+''',
+  ftail : '''
+G_END_DECLS
+
+#endif /* MESON_ENUMS_H */
+''',
+  install_header : true,
+  install_dir : get_option('includedir'))
+
+enums_c3 = gnome.mkenums('enums3.c',
+  sources : 'meson-sample.h',
+  depends : enums_h3,
+  fhead : '''#include "enums3.h"
+''',
+  fprod : '''
+
+/* enumerations from "@basename@" */
+#include "@basename@"
+''',
+  vhead : '''
+GType
+@enum_name@_get_type(void) {
+    static volatile gsize g_define_type_id__volatile = 0;
+
+    if(g_once_init_enter(&g_define_type_id__volatile)) {
+        static const G@Type@Value values [] = {
+''',
+  vprod : '''            { @VALUENAME@, "@VALUENAME@", "@valuenick@" },''',
+  vtail : '''            { 0, NULL, NULL }
+        };
+
+        GType g_define_type_id =
+            g_@type@_register_static(g_intern_static_string("@EnumName@"), values);
+        g_once_init_leave(&g_define_type_id__volatile, g_define_type_id);
+    }
+
+    return g_define_type_id__volatile;
+}
+''')
+
+conf = configuration_data()
+conf.set('ENUM_FILE', 'enums3.h')
+main = configure_file(
+  input : 'main.c',
+  output : 'main3.c',
+  configuration : conf)
 
-enumexe = executable('enumprog', 'main.c', enums_c, enums_h,
+enumexe3 = executable('enumprog3', main, enums_c3, enums_h3,
 dependencies : gobj)
-test('enum test', enumexe)
+test('enum test 3', enumexe3)