In reformed/prebyterian theology, the two sacraments are baptism and the Lord's Supper. Baptists don't have any sacraments. Marriage would be considered an ordinance. Thus while a presbyterian could have a lawful marriage not performed by an ordained man, only one lawfully ordained can administer the Lord's supper or baptize a child or adult.
Very strange, but thank you for the explanation, even though I heard it before.