Dear Kathleen
I have just answered your previous query. Records for the corresponding Roman Catholic Parish of Kilfearagh begin in 1869, quite late in comparison with other parishes. As Richard was born before this time, there will be no church record of his baptism, if indeed he was born here. You may wish to search the sites below in case the place of birth is different:
www.familysearch.org has a huge database of genealogical records including some church records for Ireland.
www.rootsireland.ie have a large collection of Irish Church records, however you have to pay to use this site.
Again, consider the Tithes and Griffith's Valuation for the next generation who may have held land:
Tithe Applotment Books (1823-1837): http://titheapplotmentbooks.nationalarchives.ie/search/tab/index.jsp
Griffith?s Valuation (1847-1864): http://www.askaboutireland.ie/griffith-valuation/
The local studies library website in Co. Clare is also a must-see for those with Clare ancestors:
http://www.clarelibrary.ie/eolas/library/local-studies/locstudi1.htm
Best of luck with your search
Clare Doyle
Genealogy Support