I have a module and a theme with different names. The module implements hook_theme() to specify a group of templates with 'template' and 'variables' for each. Template files in the module are working as intended.
In my theme, I implement templates/html.tpl.php and templates/page.tpl.php - which both work. But, theme/templates/mytemplate.tpl.php is not overriding the module's template. I have cleared the cache.
What do I have to do so that templates in my theme's templates/ folder will override my own module's templates?