S.B.
Your pumped amount is not indicative of how much milk you are making per feeding. Your daughter most certainly is getting more than that when she breastfeeds. Your indicators for if she's getting enough should be weight gain and wet diapers. I'm not sure how your doctor thinks you can adequately measure how much milk you are producing per feeding... If you truly want to know the only way I can think of is to weigh her before and after a feeding, which is what a lactation consultant did for me when my son was just born. She had a formula to figure out from those weights how much milk he had consumed. You could try to contact a lactation consultant, which would probably be a good idea in the first place, since she would have the best advice for you for continuing breastfeeding while pregnant. Most docs know a little about breastfeeding, but unless they too are a certified lactation consultant, their training is probably minimal in that subject area.
My son never took to a bottle, and it took several months of trying to finally get him to accept a sippy cup. He also likes to try to drink from a regular cup, especially when he sees me or daddy do it first. Your daughter is hooked on the boob, lol. Keep breastfeeding, but also offer her milk (pumped breastmilk) or water in the sippy cups. Also, try a straw. Sucking from a straw is very natural for babies. Even if she only takes a sip here and there it's practice for her. My son forever would only ever take water from the cup. Just this week he finally took about 2 ounces of milk from my cup, he still won't touch it in the sippy. I don't know what to tell you, some kids just have a really hard time giving up the boob!