Good work chempat. It certainly is a "complicated" family, drmjgould.
Trying to tie up another loose end, I think Kate Davies was the wife of Frank Davies, maiden name Parkinson. And may be another daughter of Kate/Kezia Parkinson.
Electoral registers - 22 Belgrave Road, Torquay:
1929
Edward Oliver
May Maud Oliver
Frank Davies
Kate Davies
Marjorie Kate Davies
Miss Florence Maud Critchlow
Miss Maud Davies
Charles Henry Pengelly
Miss Marion Southcombe
1930
Miss Kezia Parkinson
Howard Fogg
Ethel Harriett Fogg
Dorothy Banks
Charles Henry Banks
Edward Oliver
May Maud Oliver
Frank Davies
Kate Davies
Marjorie Kate Davies
Miss Maud Davies
Miss Marion Southcombe
1931
Dorothy Banks
Charles Henry Banks
Edward Oliver
May Maud Oliver
Frank Davies
Kate Davies
Marjorie Kate Davies
Miss Maud Davies
Miss Marion Southcombe
Kezia Parkinson
Arthur Carnell
GRO BMD references:
1889 Q3 Marriage: Frank Davies & Kate Parkinson; Chorlton; vol 08C; page 1156
1890 Q3 Birth: Frank Davies (mmn: Parkinson); Chorlton; vol 08C; page 890
1892 Q3 Birth: Arthur Thomas Davies (mmn: Parkinson); Chorlton; vol 08C; page 993
1896 Q4 Birth: Marjory Kate Davies (mmn: Parkinson); Chorlton; vol 08C; page 969
1934 Q3 Death: Frank Davies; age 73 (1861); Newton Abbot; vol 05B; page 175
1957 Q2 Death: Kate Davies; age 87 (1870); Exeter; vol 07A; page 347
Censuses:
1891: Wellington Street, Moss Side, Chorlton
Frank & Kate and son
Ref RG12; Piece 3201; Folio 15; Page 23
https://www.familysearch.org/ark:/61903/1:1:7Z2F-YMM1901: Wellington Street, Moss Side, Chorlton
Frank & Kate and children
Ref RG13; Piece 3710; Folio 63; Page 17
https://www.familysearch.org/ark:/61903/1:1:X9JK-BL11911: Manchester
Frank & Kate and children
https://www.familysearch.org/ark:/61903/1:1:XWBX-L31Probate index:
Frank Davies
of Derwent Hotel Belgrave-road Torquay
died 19 Sep 1934
https://probatesearch.service.gov.uk/Calendar?surname=davies&yearOfDeath=1934&page=11#calendarKate Davies
of 17 Marlborough-road Exeter
widow died 15 Apr
https://probatesearch.service.gov.uk/Calendar?surname=davies&yearOfDeath=1957&page=34#calendarPossible leads for Kate Parkinson:
The 1901 census has Kate Davies as born in Poplar, London. The following birth registration was the best I could find. There's some possible sightings of this Kate in Spalding (1871 census) and Warrington (1881 census).
1869 Q3 Birth: Kate Parkinson (mmn: -); Bethnal Green; vol 01C; page 198