Where did Robin Hood supposedly live?

In popular culture Robin Hood and his band of merry men are usually portrayed as living in Sherwood Forest, in Nottinghamshire, where much of the action in the early ballads takes place. So does the very first recorded Robin Hood rhyme, four lines from the early 15th century, beginning: "Robyn hode in scherewode stod." However, the overall picture from the surviving early ballads and other early references suggest that Robin Hood may have been based in the Barnsdale area of what is now South Yorkshire (which borders Nottinghamshire).