Hi there!
Please post your routine so I can get a better idea of what her day looks like. Also include her winddown.
How long has she been doing the short naps, and how long ago have you stopped holding her for naps? I just wonder if for now she is happy, but after a while of short naps they make take their toll on her.
do I just leave her to play in her bed by herself for a bit until it is time to get up and eat or what
For the time being you can just try leaving her in her crib as long as she seems content. She may surprise you and fall back asleep, or if not, at least she is getting quiet down time while she is supposed to be napping.