I suppose there are still little wild strawberries to be found here or there.

Yes! They grow in the forests where I grew up. We used to go pick them (and blueberries) every year. They're much sweeter and I also think they taste better than the large commercial kind (of both berries, actually). They still grow there, but I moved away and now I'm never in the right place at the right time. Blackberries are the only ones we still manage to pick sometimes, because they're ripe during the summer holidays.