From Wikipedia.
This image supports the idea that she wears a vest - but shows this could be the over-bodice her hanging sleeves arose from.
Keywords: 1620, Anne Clifford, Countess, Clifford family, Sackville family, British, straight coiffure, jeweled headdress, veil, high enclosing neckline, ruff, split under-bodice, vest over-bodice, tabbed sleeves, earrings, jeweled bodice ornament