Welcome to Rootschat. This isn't a forum for tracing living people but sometimes relatives do find each other through the site.
It's hard to know exactly what information you already have so here's a few things for a start.
1901 census- Patrick, wife and two children living in Omagh, Co. Tyrone-
www.census.nationalarchives.ie/pages/1901/Tyrone/Omagh_Town/Market_Street/1746718Ten years later Patrick has aged less than 10 years- wife and son in household- wife's details say married 27 years, 2 children (both living so perhaps daughter is married by now)-
www.census.nationalarchives.ie/pages/1911/Tyrone/Omagh_Urban/Market_Street/875252Possible marriage?
Patrick Rocks, Jan./Mar.1884 Omagh registration district volume 2 page 336
Possible death?
Patrick Rock, age 70, July/Sept.1915 Omagh registration district volume 2 page 173
According to an Ancestry Tree-
Patrick Rock (1848-17 Sept.1915) m.(24 July 1884) Bridget McSorley. Son Patrick Rock (22 Sept.1889-8 Aug.1937) m.(1921 Dublin) Matilda Moya Cameron.
This fits in with PRONI Will Extract and the fact that he was still a student when aged 21 years in 1911- "Rock Patrick of 1 Bayview Terrace Londonderry medical doctor died 8 August 1937 Administration Londonderry 26 January to Moya Rock the widow. Effects £1199 12s. 10d."