if you google different spellings you have used you come up with different things!!
Thre is a Cauldwell road baptist church - IP4 5BS or:
The Waldo Caldwell House, c. 1660 (25) was owned by Waldo Caldwell, an early American ancestor of writer Ralph Waldo Emerson. The site was also the home of Simon Bradstreet, later governor of the colony. His wife, Anne, daughter of Governor Thomas Dudley, is thought to be the “first American poetess." and....
http://www.archive.org/stream/caldwellrecordsj00cald/caldwellrecordsj00cald_djvu.txt says:
The name is speiled variously. In Domesday Book it is written
Caldeuuelle ; it may be likewise found — Caudwell, Cadwell, Col well,
Coldwell, Caldwall, Cauldwell, Caldwell. It was interesting to the com-
piler to notice that the invariable spelling of the name on the Ipswich
Town Records, for 200 years, was Caldwell.
Diddy