You can put both names on all the luggage. Our luggage tends to only have my name since I'm the one who makes out the tags.
Be sure to put another piece of paper inside with identification as well in case your tag gets ripped off. I just print out a few papers with our name and cell phone numbers and destination and pop one into each bag, including carry ons. VOILA
You may want to do this. Inside each piece of luggage including carry-ons put a 3 X 5 card size note.
On the card put
YOUR NAME C/O
YOUR RESORT NAME
DATES OF STAY AT THE RESORT
Should your luggage get separated it may get delivered to the resort this way. If heaven forbid a piece of luggage gets lost and turns up after your trip is over, the resort would be able to check when you were there and still have your reservation information on file and may call your home. The above is the same information I put on the outside luggage tags. That way no private address or phone number is ever displayed externally.