Hi Liz,

Ancestry has the Channel Islands census for the years 1841, 1851 & 1881. The familysearch website has the 1881 index.
There is a Caroline M. De La Coeur who appears on the 1881 census for St. Peters Port, Guernsey, Channel Islands. She was born about 1833 in England and is a servant (cook & housekeeper) for Marie E. Hudson.