Return Address on Wedding Invitation and response card envelope

Usually the response cards go to whoever is hosting the party, so they can keep track of the RSVPs.

If it is more convenient to have them sent to you, do that.

The return address with no names goes on the back of the invitation. As for the response card envelope, like Nancy said it's whoever you want the card to be sent to. For that you include the recipient's name and address. If you want it to be sent to your parents, then you put their names.

I put the return address on the back of the invitation. I don't think its odd to have their name on the RSVP envelope if they are the one's hosting the wedding.