Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
DAMER
As described in historical dictionaries
Patronymica Britannica (1860)
DAMER. This name, as well as Damory, is said to have been derived from the Norman fief of De la Mer, near the mouth of the Seine.