Patrick married in Hamilton in 1901 GROS ref: 647/95. That should give you his parents names, occupations and whether they were alive or dead in 1901.
Have you checked the 1911 Scottish census? That may show where in Ireland Patrick was born. The family look to be in Hamilton: Patrick 29, Frances 31, Daniel 8, Frances 6, James 4, Arthur 2. GROS ref 647/29/28.
The Scottish 1921 census might also give you more information. Again in Hamilton:
Patrick 42, David 19, Frances 16, James 14, Arthur 12, Patrick 10, Margaret 8, Annie 2.
GROS ref 647/33/26.
Possible death for Frances in Dennistoun 1919 aged 38.