As they were non RC you can, for example just look for Marriage on the Irish Govt BDM Website even by just entering Surname.
e.g. as per attachment and get Manifold Marriages
or put First Name and Surname in if one wants.
If one knows a non RC couple "married around 1850" for example one can adjust criteria in example below leaving District out and then hit Search and look at results for them.
To look for their Deaths just put their name in, tick Deaths and search... For Thomisina's death one can put 1901 in first Year range box to get Death after 1901 census.
Birth Reg only start 1864, so one can just put Surname in, tick Births and year range 1864 to 1870, then 1871 to 1880 for example.
Any children can be looked for Marrying 1878 to 1890 (20 yrs+) after parents married by changing Search Criteria as needed.
Certs are Free, just solve Security and use initials to sign in. Safe site to use.