Daniel Perrie was born in 1883. So his mother cannot have been born much later than say 1868, but let's say 1870. And she cannot have been born much before 1838. Let's say 1835.
There are just four Elizabeth Perries in the 1881 (LDS CD-ROM transcription) who are of an age to bear a child in 1883:
10 Steven St, Barony, Lanarkshire
Margaret CRUCKSHANKS W 67 F Glenurquhart, Inverness, Scotland
Rel: Head
Occ: Formerly Dom Serv
Margaret CRUCKSHANKS U 34 F Aberdeen, Aberdeen, Scotland
Rel: Dau
Occ: Dressmaker
Annie CRUCKSHANKS U 33 F Aberdeen, Aberdeen, Scotland
Rel: Dau
Occ: Dressmaker
Elizabeth PERRIE U 31 F Hamrigirth, Shetland, Scotland
Rel: Niece
Occ: Dressmaker
Woolmill, Asleed, Monquhitter, Aberdeenshire
James MARSHALL M 51 M Monquhitter, Aberdeen, Scotland
Rel: Head
Occ: Manufacterer Emp 4 Men 3 Boys
Helen MARSHALL M 37 F Old Deer, Aberdeen, Scotland
Rel: Wife
Occ: Manufacterers Wife
Helen MARSHALL 6 F Monquhitter, Aberdeen, Scotland
Rel: Dau
Occ: Scholar
James H. MARSHALL 3 M Monquhitter, Aberdeen, Scotland
Rel: Son
Eilzabeth MARSHALL 2 F Monquhitter, Aberdeen, Scotland
Rel: Dau
George MARSHALL 3 m M Monquhitter, Aberdeen, Scotland
Rel: Son
John MARSHALL U 32 M Monquhitter, Aberdeen, Scotland
Rel: Brother
Occ: Wool Flobber
William SHEPHARD U 21 M Aberdeen, Scotland
Rel: Ser
Occ: Woolen Weaver
William MITCHELL U 14 M Udny, Aberdeen, Scotland
Rel: Ser
Occ: Mill Worker
Alexander SUTHERLAND U 13 M Aberdeen, Scotland
Rel: Ser
Occ: Mill Worker
James GAULET U 12 M New Pitsligo, Aberdeen, Scotland
Rel: Ser
Occ: Mill Worker
Helen HUTCHISON W 73 F Edinburgh, Scotland
Rel: Mother In Law
Occ: Visitor
Elizabeth PERRIE U 30 M New Deer, Aberdeen, Scotland
Rel: Ser
Occ: Gen Serv Dom
Knows, Balgaveny, Forgue, Aberdeenshire
Elizabeth SKINNER U 50 F Forgue, Aberdeen, Scotland
Rel: Head
Occ: Farmer Of 14 Ac
Elizabeth S PERRIE U 18 F Forgue, Aberdeen, Scotland
Rel: Daur
Occ: Farmers Daur
1 Baltic Street, Dundee, Angus
(Mrs) PERRIE OR DOWNIE W 39 F Keith, Banff, Scotland
Rel: Head
Occ: Millworker
William PERRIE U 18 M Aberdeen, Aberdeen, Scotland
Rel: Son
Occ: Seaman
Isabella PERRIE U 20 F Aberdeen, Aberdeen, Scotland
Rel: Dau
Occ: Millworker
Elizabeth PERRIE U 16 F Aberdeen, Aberdeen, Scotland
Rel: Dau
Occ: Millworker
As for which one is Daniel's mother, I have no opinion to offer. And if she is listed as Perry, Pirie or Pirrie in the census, or if she was in England/Wales/Ireland/elsewhere in 1881, the foregoing probably doesn't help.