I've been scouring the search function and TK's info, but this is probably the quickest way to get an answer. For a couple entirely hosting the wedding, is there anything wrong with including parents names on the invitation? From what I've read, it's not necessary, but I think it would be nice. For example :
Bride
daughter of Bride's parents
and
Groom
son of Groom's parents
request the pleasure of your company....etc.