I cannot find a trace of her on the Internet other than articles about her husband, Godoy associate Antonio Noriega de Bada. He apparently secured a noble title using his connections. The best description I've seen (available in Spanish and English) is here.
The image is from the museum, but adjusted using temperature setting to convert the shade of her dress from off-white to white and then having lightness added by gogm.
This portrait shows a woman dressed to display her status with a diamond headdress and necklace, pearl earrings, and a glittery dress. The painting commemorates their marriage.
Keywords: 1806, Goya, Francisca Chollet y Caballero, curly coiffure, jeweled hair ornament, scoop neckline, modesty piece, lace, quarter length tight sleeves, cuffs, Empire waistline, close skirt, necklace, earrings, gloves