Are the flowers on those strawberries white or pink?
The wild strawberries I have at my house are DELICIOUS. I purposefully transplant them under my
trees and let them grow in my gardens. They bear fruit from June (if not May) through October. I love snacking on them--though I rarely get any because my kids eat as many as they can find!
If your berries are tasty, I'd keep them! Or, transplant them under fruit trees as an edible ground cover.