Hmmm...The one on the right looks like a fruit bushel basket and the one on the left I am not sure but I would guess the intended contents must not be that heavy based on the size of the attached string.
The one on the right is a fruit basket for sure, I actually see them to this day around old orchards that have been in business for a long time. the other one has me stumped . . .but with a handle that "delicate" maybe light garden produce or flowers?