May 1945 electoral register, Acton South
14 Roslin Road
Louisa S Lawrence
William H Lawrence
Plus the two Lansdowns
October 1945 register
Louisa S Lawrence still at 14 Roslin Road.
But no William H Lawrence listed there.
Did William die around that time? The best matching death reg may be
LAWRENCE, WILLIAM HENRY
Age at Death (in years): 78
GRO Reference: 1945 J Quarter in WILLESDEN Volume 03A Page 336
Burial at Acton Cemetery, 17 April 1945
William Henry Lawrence
Age 78
On ancestry, England & Scotland, Select Cemetery Registers, 1800-2016. Unfortunately they don't have the image.