WALTHAM (COLD), a parish in the hundred of BURY, rape of ARUNDEL, county of SUSSEX, 5 miles (S. E.) from Petworth, containing 357 inhabitants. The living is a perpetual curacy, in the peculiar jurisdiction and patronage of the Bishop of Chichester, endowed with £1200 royal bounty. The parish is bounded on the north by the Rother, and on the east by the Arun.