In his guide to nomenclature, Tolkien explains the origins of Bagshot Row: when Bag End was tunnelled into Hobbiton Hill, the earth that was removed was cast or 'shot' over a steep dip in the hillside, and then used to construct the walls and gardens of the three Hobbit-holes that made up Bagshot Row. This explanation is helpful in dating the Row, since by definition it could not have existed before Bag End was created by Bilbo's father Bungo.
It seems hard to believe that Tolkien's choice of the name 'Bagshot' was not influenced by the fact that there are two real places in England with that name, each of which takes its name from a quite different Old English source. The larger of the two, Bagshot in Surrey, has a name derived from 'badger place', while the village of Bagshot in Wiltshire is named for the 'gate of (a person named) Beocc'. There was also a village in the Shire named something close to 'badger place': Brockenbores, some miles to the northeast of Bagshot Row. This seems to be a simple coincidence, though Tolkien might conceivably have placed that village as a nod one of the true origins of the name 'Bagshot'.
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