The story about "Mr. Rabbit and Mr. Bear" is not about peas or a pea patch, but about peanuts.

Brer Rabbit sang:
"Ti-yi! Tungalee!
I eat um pea, I pick um pea.
Hit grow in de groun', hit grow so free;
Ti-yi! dem goober pea."

"Sho nuff, w'en de goobers 'gun ter ripen up, ev'ry time Brer Fox go down to his patch, he fin' whar somebody bin grabblin' 'mongst the vines, en he git mighty mad."....

Goober peas are peanuts (Civil was song in another thread, "Goober Peas").

This story was published in 1880, in "Uncle Remus: Myths and Legends of the Old Plantation," not in the 1883 "Nights with Uncle Remus...."