I looked for a marriage of an Elizabeth Perrie anywhere in Scotland 1883-1900 and only one result showed up. Elizabeth Erski Perrie to a David Poland 1899. There are two index entries for this marriage one with the reg dist Paisley ref no 573/1 486, the other with the reg dist Linwood ref no 568/2 9.
This couple emigrated to Canada between 1901 (Scotland census) and 1911 (Canada census) because they are named on their daughter Margaret Wilson Poland's marriage record to Thomas Montgomery Bennet 1926 Ontario.
Found shipping record - Mrs D Poland, son Joseph 4 and Daughter Maggie 1 arrived in Montreal 12 Oct 1903 on their way to Toronto Ontario.
This may be her in 1881
Kirknewton and East Calder Midlothian
Margaret Perrie 22 Widow born Paisley, Renfrewshire
Elizabeth Perrie 2 Paisley, Renfrewshire
Maggie Wilson married Thomas Perrie so that accounts for the Margaret Wilson Poland's name daughter of Elizabeth Perrie and David Poland. BUT in the 1891 Scotland census Margaret Perrie age 32 is with Thomas Perrie, Elizabeth 12 and
Robert Perrie 9
David Perrie 8
Thomas Perrie 7
Jane Perrie 5
Maggie Perrie 4
Alexander Perrie 3
John Perrie 2
William Perrie 1
Thomas Wilson married Maggie Perrie 1878 Paisley Burgh Parish so why the transcription says Widow in 1881 who knows.
Elizabeth Poland nee Perrie did make a couple f trips back to Scotland one in 1913 and the last one
Elizabeth N Poland
Arrival Age - 76
Birth Date - 5 Oct 1878
Port of Departure - Montréal, Québec, Canada
Arrival Date: 7 Jun 1955
Port of Arrival - Glasgow, Scotland
Ports of Voyage - Montreal and Liverpool
Ship - Captain Cook
Shipping Line - Donaldson Line
Now none of this may be nothing to do with your Daniel Perrie but may help eliminate them.
Could Elizabeth Perrie have gone to Dunoon to have her baby to hide her pregnancy?