Hi Lewy,
The following is from the 1881 Cencus:
Dwelling: 4 Albert Place
Census Place: Aberdeen Old Machar, Aberdeen, Scotland
Source: FHL Film 0203449 GRO Ref Volume 168-2 EnumDist 28 Page 5
Marr Age Sex Birthplace
Robert DAVIDSON M 35 M Rayne, Aberdeen, Scotland
Rel: Head
Occ: Commission Agent Wines & Spirits
Helen DAVIDSON M 32 F Elgin, Elgin, Scotland
Rel: Wife
Frederick C. DAVIDSON 9 M Elgin, Elgin, Scotland
Rel: Son
Occ: Scholar
Constance H. DAVIDSON 8 F England
Rel: Daur
Occ: Scholar
Kate G. DAVIDSON 3 F Elgin, Elgin, Scotland
Rel: Daur
Elsie THOMSON U 23 F Fyvie, Aberdeen, Scotland
Rel: Serv
Occ: Genl Serv (Domes)
From this you can see where the family were at the time of the Cencus and names, ages and occupations of Kate's parents.
Hope this helps.
Anne