As Jon mentions in reply #5 in 1911 she is single on image, named Smith, but transcribed as divorced which is obviously an error.
Possible marriage
Marriages Sep Q 1920
Pighills Harold N - Smith Keighley 9a 623
Smith Florrie - Pighills Keighley 9a 623
1921 free index
Florrie Pighills 1889 b Keighley, Yorkshire, living Keighley, Yorkshire (West Riding) Harold Norman Pighills also in house.
Does not seem to be any children to couple. Couple on electrol at 115 Grafton Road Keighley (only checked a few, there are many)
1939 register gives Florrie DOB as 25 Sept 1889 which would fit with a Dec Qtr birth registration but a year out - YOB can differ on 1939 register for whatever reason.
Birth - SMITH, FLORIE mmn BLAND
GRO Reference: 1888 D Quarter in KEIGHLEY Volume 09A Page 181
Deaths Sep Q 1947
Pighills Florrie age 57 Worth Valley 2c 19
(Worth Valley changed 1947 from Keighley)
Harold death age 70 registered 1955 June Q Manchester Lancs Volume 10e Page 74
Harold Norman Pighills
Death Date 4 May 1955
Death Place Yorkshire, York, England
Probate Date 16 Jun 1955 - to Lucy Pighills widow
Probate Registry London, England
Can help confirm if it is your Florrie, by obtaining 1920 marriage cert to see if her named father is Arthur.
Cas