In the village of Soufriere, there is a grocery, a bakery (mostly breads and savories; few, if any, typical US sweet breakfast pastries), a butcher, and an open-air market with fish and fresh fruits and vegetables. There are also stands on the sidewalks in Soufriere. Doxie may be able to source items for you – discuss it with her and give her a day or two of notification.
The larger stores, including a liquor store and grocery, are near the airport. You may wish to stop at them on your way to the villa.