You've got two options here:
1. Get the people going to change their name by deed poll So that it matches the name on the tickets.
2. Go and watch Adele yourself.
Alternatively, get in touch with the ticket issuer and explain the situation to them. I'm guessing this has been done to stop touts. When I got my Iron Maiden tickets a while back, it was all done ticketless - basically the name on the order has to turn up with confirmation of ID and the card used to purchase the tickets. All this was explained prior to tickets going on sale. On the Iron maiden site there was an email address so you could get in touch if there was a problem e.g if you lose the card you paid with etc.