REACH, a hamlet partly in the parish of BURWELL, hundred of STAPLOE, and partly in that of SWAFFHAMPRIOR, hundred of STAINE, county of CAMBRIDGE, 5 miles (W. N. W.) from Newmarket. The population is returned with the parishes. This was anciently a market town, to which ships of considerable burden had access before the draining of the fens; it had a church, which has long been'demolished. A large fair for horses, granted to the corporation of Cambridge by charter of King John, is still held here on Rogation Monday.