owner of device is wrong

When I set up an ipod for my daughter today (no one else in the family has an apple product) it registered the device to me because I had to log in to create a family account. Is there a simple way to transfer the device to her without a great big deal? I find apple to be extremely difficult to use - ie. I had to enter a credit card in order to create a family account - I didn't buy anything. Then when she wanted to download a free game, it asked me for permission - ok great. Except the notification didn't come to my email it went to her ipod device. THen when I logged in, I have no icloud email address and I need to set one up - while since I don't have an apple device it makes it kind of hard. It should have gone to my email account to ask permission not to her device. I really don't understand the apple logic of thinking - there are simpler ways of doing things. I just spent 2.5 hours setting up this device to find it listed as mine and not hers.

Help