J.C.
I've bought meals at Costco to give to families in need. (Frozen lasagne, loaf of bread, salad, marinating steak, fresh stuff shells etc) My husband and I would not eat homemade food from a stranger and we may not even eat it even if we knew the people that made it. We are funny like that too.
Gift cards are great as well!
Could you invite their daughter over for a play date? I am assuming you have a daughter the same age.