Hello Katharine,
I hope you have heard about
Hometown soul cafein Göttingen. If not, then take a look at the link that i have provided. This cafe has been mentioned in TT many times. It's an one of a kind place. A place where you can hang out, bring your kid(s), borrow a book from the shelves (ca.4000 books are there), life time membership, borrowing fee is all free, meetups for cooking recepies, live sports on the TV etc etc. Just drop in at the cafe, meet the owner, a really nice guy. In the meantime, take a look at this website for more infos.
This might be of some help to you.
cheers,
Lh