The solution to add the 'template file' key to hook_views_api() does not appear to work in Drupal 7 yet. However, this works like a charm:

/**
 * Implements hook_theme().
 */
function bigtexas_theme() {
  return array(
    'views_view_fields__slideshow' => array(
    'variables' => array('view' => NULL, 'options' => NULL, 'row' => NULL),
    'template' => 'views-view-fields--slideshow',
    'base hook' => 'views_view_fields',
    'path' => drupal_get_path('module', 'bigtexas') . '/theme',
  ),
 );
}

The solution to add the 'template file' key to hook_views_api() does not appear to work in Drupal 7 yet. However, this works like a charm:

/**
 * Implements hook_theme().
 */
function bigtexas_theme() {
  return array(
    'views_view_fields__slideshow' => array(
    'variables' => array('view' => NULL, 'options' => NULL, 'row' => NULL),
    'template' => 'views-view-fields--slideshow',
    'base hook' => 'views_view_fields',
    'path' => drupal_get_path('module', 'bigtexas') . '/theme',
  ),
 );
}

The solution to add the 'template file' key to hook_views_api() does not appear to work in Drupal 7 yet. However, this does work, like a charm:

/**
 * Implements hook_theme().
 */
function bigtexas_theme() {
  return array(
    'views_view_fields__slideshow' => array(
    'variables' => array('view' => NULL, 'options' => NULL, 'row' => NULL),
    'template' => 'views-view-fields--slideshow',
    'base hook' => 'views_view_fields',
    'path' => drupal_get_path('module', 'bigtexas') . '/theme',
  ),
 );
}

The solution to add the 'template file' key to hook_views_api() does not appear to work in Drupal 7 yet. However, this works like a charm:

/**
 * Implements hook_theme().
 */
function bigtexas_theme() {
  return array(
    'views_view_fields__slideshow' => array(
    'variables' => array('view' => NULL, 'options' => NULL, 'row' => NULL),
    'template' => 'views-view-fields--slideshow',
    'base hook' => 'views_view_fields',
    'path' => drupal_get_path('module', 'bigtexas') . '/theme',
  ),
 );
}