A.F.
I've been through this and it is a tough spot. Finally I decided that while I didn't want to hurt anyone's feelings, that was my child not theirs. I would never say I was rude, but I firmly reminded them (during the worst times) that I was the mother and I would take care of things. It took time and lots of patience on my part, but finally it worked.
Let them know that you are so grateful to have such a loving family. Create situations where you're happy to let them fuss over her - like when you need to take a nap or would like to go to dinner. Then be firm (and consistent) during the other times - they will start to understand that there are boundaries.
Best of luck!