Given the information available on the ancestry trees the belief is that John Patrick's parents were Patrick and Mary Dougan.
There is a match in the 1861 census living at 78 New Dalmarnock Rd, Calton (reg dist Bridgeton)
Patrick Dougan aged 40, born Glasgow, Furniture Broker, Head
Mary Dougan aged 38, b Glasgow
Patrick Dougan aged 9, b Glagow, Scholar
Mary Dougan aged 5, b Glagow, Scholar
Edward Dougan aged 5, b Glasgow
Margt Dougan aged 4, b Glasgow
Francis I. Dougan aged 1, b Glasgow
Found matching IGI births for Edward above b 29 Jan 1855, Bridgeton
Margt b 22 Dec 1856, Bridgeton and Francis Joseph b 08 May 1859, Bridgeton
Parents for the above were Patrick Dougan and Mary Campbell
In 1871 living at 76 New Dalmarnock Rd, Calton:
Mary C Dougan, Head, aged 46, b Glasgow
John P Dougan, son, aged 19, Umbrella Maker, b Glagow
Mary aged 17, Woollen Reeler
Edward aged 15, Stationer Asst
Margt aged 13, Scholar
Francis aged 10, Scholar
Hope this helps, Sage.