Have found Alice Elizabeth Longcroft Neal marriage to William Ernest Andrews (marriage has Elizabeth first), then 2nd marriage to George Thomas Randall. There is a Thomas David Andrews & Thomas David Harmer bn 1918 West Ham - with four different birth records same year = West Ham.
Probate of Alice Elizabeth Longcroft Randall at 24 Summer Rd Erdington Birmingham - to husband and Thomas David Harmer. Also found all three together in Hammersmith 1939.
I suspect this is your Grandmother - in which case she was sister to Charles Longcroft Neal, aunt to the other submitters Walter Reginald Longcroft Neal and parents Thomas Longcroft and Georgiana Brown.
Suspect you have already got here by now.