Identifying painting Hortense Mancini

Google her name and ask for images.

Find artists who have painted her.

If you … really believe that you have a genuine 17th century painting than why are you wasting time asking an internet forum that literally doesn't have any art appraisal or art history experts (let alone someone who will appraise a painting for absolutely free of charge)?

Here ya go.
Online contact info for art appraisers

Franz Hals could always paint a lady and her puppies