Houses are already uniquely named, and since you can only have one of each kind of house, they can't get mixed up in your backpack.
We will not allow players to input their own names for any items, including houses.
I agree with Professor Greyrose. If we were allowed to name our own houses, they would've put the option in when kingsisle created the game. it would be a complete mess if we were allowed to name our own houses. Everything is uniquely named for this exact reason! just be happy you can name your pets, my friend.