Is it normal that I don't want to share my baby with my partner's parents?

My mother-in-law especially disturbs me because she wants to carry my baby like hers. I am unsure if I am jealous or how she behaves is not normal. When she sleeps on my lap she takes her and wakes her up. After that, I am the one who should put her to sleep. My husband seems reluctant I am afraid to share it with him.

Is it normal that I don't want to share my baby with my partner's parents?
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