Weeds

Certainly not a weed! Clover is wonderful for replenishing nitrogen to soil, food for pollinators, makes delicious honey, and when cows eat clover in pasture, makes yummy butter and milk!!

yes, they do.

Wont these help pump nitrogen back into depleted soils?

Yeah

shebebusynow is right---white clover. Not native to North America, but at least it's pretty.