You need to make the function pluggable, that means, to support child themes, the functions in parent theme should use:
if ( !function_exists( 'function_name' )) {
function function_name() {
//Stuffs
}
}
You should have seen a PHP Error message if you have debugging enabled.
EDIT: The below code snippet if to answer your other question in comment.
function modify_read_more_link() {
global $post;
return '<a class="more-link" href="' . get_permalink( $post->ID ) . '">Your Read More Link Text</a>';
}
add_filter( 'the_content_more_link', 'modify_read_more_link' );