Adult dating - Who should pay ?

I've been dating the same woman for 9 months. I really like her and think she likes me. She's always wanting to go out for happy hour, movies, regular stuff but never offers to pay. I've tried to talk to her about it but she feels even thought she works and makes good money the guy should be happy to pay. Even expects me to pay for her kid's dinner if we've been out and he gets hungry. She's never offered to pay, never cooked for me, etc. Feeling taken for a ride. Your thoughts?