Hi Everyone. Thank you so much for your comments, particularly the post-1939 address details for Elizabeth Lucy Gibson and her mother, Elizabeth Agnes Heath, as I did not have a record of them so thank you!
I thought I would answer a few of the above replies here and provide an update! I will do some more research into addresses etc and post my findings.
Elizabeth Agnes Heath (b abt. 1883 – TBC) is indeed Elizabeth Lucy Heath’s mother.
In the electoral register from 1935, Arthur and Elizabeth Lucy Gibson are living in ‘Halfway’, Walton Park, Chertsey, Surrey. Arthurs’s mother in law, Elizabeth Agnes Heath, is also living at the address.
In the electoral register from 1938, Elizabeth and Arthur are living at 58 Addison Gardens, Hammersmith, London.
In the 1939 England and Wales Register. Arthur and Elizabeth are recorded as living at 15 Huntille Cottages, Stoke-On-Trent. Arthur’s son Arthur Frear Gibson (b 1915 – d 1975), daughter in law Violet, and granddaughter Beryl (b 1939 – d 1941) are living with them. Arthur was working as a Clerk of Works (Bldg & Public) and did this for most of his life.
Elizabeth Agnes Heath and Elizabeth Lucy Gibson
From 1936 – 1964 Arthur’s mother in law, Elizabeth Agnes Heath, lived at No. 10, basement, Clanricarde Gardens, Kensington, London. In the 1939 Register Elizabeth is working as a caretaker. No. 10, basement, Clanricarde Gardens, Kensington is a few streets away from No. 58 Addison Gardens, Hammersmith.
It would appear the Elizabeth Lucy Gibson lived with her mother at the above address for some years, likely after Arthur passed away (maybe 1948 in Stoke-on-Trent). The earliest year I could find for her living with here mother at No. 10 was 1949 and the latest date 1964.
From my initial research I found that William James Carmichael Gibson was living with/next to them for a few years, that being said I am pretty sure he was a not relation. I know that it was common to have lodgers during this period.
I have tried again to find an address for Arthur Gibson post-1939, also tried for an earlier address with Elizabeth Lucy Gibson from say 1945. Maybe some records were destroyed, not taken during WW2. May explain why we have a gap of a few years.
Unfortunately my relative does not have Arthur's daughter, Millicent's, marriage certificate from 1944. I have ordered Arthur's father, Frear's, will from 1940 so hopefully that gets emailed to me in a week or so.