Hi J.,
It is such a special time you are sharing with your daughter right now! My son also enjoyed falling asleep on me (or grandma, grandpa, his daddy, aunties, etc.) when he was that age. I think it was the warmth, and being able to hear my heartbeat and all that. After all, our kids did spend around nine months listening to the rhythms of our bodies! :)
Sense of touch is important, and for some children it can be especially vital. My recommendation is to stick it out if you can/want to. And if you really need a break, maybe you could compromise a bit and lie down next to your daughter and sing to her while you gently rub her belly/back (my son often slept on his side, so my mom would pat his back while singing to him).
I started working again when my son was around four or five months old, so he often fell asleep with my mom, who used the baby massage and singing technique, or rocked him in her arms for a while, and he would cry at first, and then fall asleep within a few minutes. My son never liked his bassinet for sleep, either. I found that I was awake a lot when he slept there at night, and then when I tried having him sleep next to me on my bed, he slept almost through the night! Also, for some reason, I noticed that my proximity to him changed his breathing patterns and helped to regulate them (he was born with a heart murmur and had rapid breathing in the first few months of life).
Developmentally speaking, your child knows that sleeping close to you feels good and warm and just where she wants to be. She was connected to you and your rhythms for so long, that is just feels right to her when she can feel your breathing and be close to you. If you can find a way to be more comfortable yourself, maybe prop yourself up on some pillows and get a good book to read. :) Best wishes and happy holidays, too!!!
Nessa