The page for Strawberry says:
Middle English strauberi, used of the plant or its “fruit,” from Old English streawberige, streaberie. There is no corresponding compound in other Germanic languages; the reason for the name is uncertain, but perhaps it is in reference to the tiny chaff-like external seeds which cover the fruit.
In Sweden, we DO have a corresponding compound: Stråbär (literally straw-berry). We call them this because you pick them by hand and stick them on a straw, then you eat them off of the straw like a BBQ skewer. This is specifically for wild strawberries (smultron), which are smaller than domesticated strawberries.