Modify the slug for the person post type in the Church Theme Content plugin.

change-person-slug.php

/**
 * Modify the post type slug for the Person post type.
 * ex: http://mychurch.org/people/ ~> http://mychurch.org/staff/
 */
function od_change_slug( $args ){

	$args['rewrite']['slug'] = 'staff'; // New slug is 'staff'

	return $args;

}

add_filter( 'ctc_post_type_person_args' , 'od_change_slug' );