B.D.
I wouldn't worry too much. My daughter never held her own bottle, and was able to transition to the sippy cup fine. I think my daughter enjoyed the cuddling that went with bottle feeding (I breastfed her, so I think she liked the cuddling from her caregivers).
I think you should keep offering the sippy cup, showing her how to use it, but not doing it for her, then she'll eventually catch on. Just keep trying - there's no exact timetable or standard she has to follow. :)