This 6.9-acre parcel off Sharon Avenue, from Beagle Lane, was acquired by the town in 1995. Although the property, owned by Francis and Beatrice Barrett, was billed as open space for Teaticket, it is close to the center of town: it backs up to houses on Coleridge Drive in Grasmere and connects to the west to St. Joseph’s Cemetery on Gifford Street. There is a wetland in the lower east corner of the parcel, abutting Falmouth Housing Authority land.

The Barrett Parcel is under the jurisdiction of selectmen.