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Webster 1913 Edition

Noun.

The act of perambulating; traversing.

Bacon.

An annual survey of boundaries, as of town, a parish, a forest, etc.

A district within which one is authorized to make a tour of inspection.

“The . . . bounds of his own perambulation.”

[Obs.]

Holyday.

Noun.

The act of passing or walking through or over.

A traveling survey or inspection.

A district within which a person has the right of inspection; jurisdiction.

Annual survey of the bounds of a parish in England, or of a township in America.

perambulation ‎(plural perambulations)

(rare) A survey, a tour; a walking around.
(law) An English legal ceremony in which an official from a town or parish walks around it to delineate and record its boundaries.

1902: Transactions of the Lancashire and Cheshire Antiquarian Society, published by the Lancashire and Cheshire Antiquarian Society
Another forest not named in the perambulation is that of Horwich.
1929: Proceedings of the Dorset Natural History and Archaeological Society, published by the Dorset Natural History and Archaeological Society
The earliest known reference to the stone is that in the perambulation of the parish of Puddletown recorded in the Cartulary of Christchurch Priory.