By about 1880, when he painted A Peasant Woman, Hawkins had left Paris for Grez-sur-Loing, which is close to Barbizon and was still very rustic at that time. There he painted rural scenes in a style strongly reminiscent of Jules Bastien-Lepage, who was only slightly older than Hawkins, and making a great impression at the Salon.
(https://eclecticlight.co/2017/04/24/haloes-and-fans-the-forgotten-paintings-of-louis-welden-hawkins/)