It looks like you have a poured-in-place concrete house with a textured cement finish. It is not really stucco. The entrance ceiling is made of drywall, with a similar textured finish. I think what you need is a drywall contractor, not a stucco contractor, to repair the ceiling. Here are some suggestions.
A Touch of Drywall (Lori), 352-636-6859
Altman Drywall, 352-266-8266
|