Copies of Catholic Marriage + baptismal registers post 1847 are in Manx Museum (before this on film) - as there are no Catholic burial grounds any record would be held by the yard (in this case Braddan - these are also held at manx Museum tho' there is one Braddan Bur Reg not yet transcribed by the IoMFHSoc). The Catholic church would have no records of Burial that I'm aware off.
Re civil reg - see general registry - address http://www.gov.im/registries/general/civilregistry/welcome.xml

There may be additional info in any newspaper report but you need a private researcher though as the 1860 might be included in the BMD index the Manx Museum might report if there is an entry.