Hi Patricia,
On the Family Search website is information on the deaths of James and Catherine Moylan. See attached query:
http://tinyurl.com/h7z3rsh
Catherine Moylan (born 1837) died in 1914 in Killadysert, and James Moylan (born 1844) died in 1925 in Killadysert.
I initially did this query specifying "Ireland" as the country and "County Clare" as the state or province. This query came up empty; it was only after querying "Ireland" with no county stated that the results came up. This must mean that Family Search has Killadysert in a different county than Clare? Something to consider for those with Killadysert ancestors.
Here are instructions on how to obtain a death record for your great grandparents. However, in the death records I've obtained (also for Killadysert), cemetery information was not a field in the document. The informant is listed and might provide you with more information on the later whereabouts of their son Patrick Moylan.
http://www.irish-genealogy-toolkit.com/ ... ation.html
And your last post didn't mention if you had any luck finding the Moylan baptism records. Given that you provided both parents, I should have mentioned that the specific birth dates are easy to find also on Family Search for their five children : Thomas (1870), Patrick (1872), Mary (1874), John (1876), James (1877): this link provides the exact dates:
http://tinyurl.com/hxkel3a
Finally, you can check the Clare Library site section of graveyard inscriptions (and a more general query for other Moylan references) for your Moylan great grandparents.
http://www.clarelibrary.ie/eolas/coclar ... s_main.htm
Good luck.