I have read the thread although not quite got everything in perspective.
Looking at the VRs for the address prior to immigration & after (1925 & 1930) the surname
Robertson which I noted in an early post may have some significance
ROBERTSON ALEXANDER MALCOLM Proprietor Occupier
HOUSE 36 RODNEY STREET, EDINBURGH
1925VR010000497-
ROBERTSON MARY MRS Proprietor Occupier
HOUSE 36 RODNEY STREET, EDINBURGH
1925VR010000497-
ROBERTSON MARY MRS Proprietor Occupier
HOUSE 36 RODNEY STREET, EDINBURGH
1930VR010000617-
Annie