In the 1901 Census Annie is recorded as Annie E Coope . She is living with her sister and brother in law in Porthmadog. In this transcription her sister's married name is incorrectly transcribed as Horewell - it should actually be Newell. Her brother in law is John H Newell, ( The H is for Holt). Subsequently he became a clerk in holy orders. ( Note Mary Anne's place of birth as Kelton).
https://www.familysearch.org/ark:/61903/1:1:X913-R5PThis is John Holt Newell in 1911
https://www.familysearch.org/ark:/61903/1:1:X7KK-X2WHe then moved to Suffolk and a daughter Bronwen was born there in 1914.
There is an incoming passenger list on Ancestry for Bronwen Holt - Newell in 1944 age 30 - her address in the UK is given as Catmore Farm, Catmore , Nr Newbury, the same as in your opening post.
William