I went to www.rootsireland.ie which is a pay site. According to the data for Galway West genealogy center , Roots has Donagh Patrick RC records online for baptisms and marriages from 1844-1900.
I also checked the Mormon Church web site www.familysearch.org and they microfilmed the records. Looks like there is a gap on baptisms from 1845-1848 and marriages don't start until 1850. You can order this film online and view the film at a local Family History Center.