As Michael died before the introduction of civil registration in 1864 it is unlikely you will find a record of his death. I searched in the online records for Graveyards in Rosenallis but did not find a headstone for him.
Griffiths Valuation shows 2 entries for Michael Corcoran in 1851. I can't say if there were 2 Michael Corcorans or just one man with two holdings. One of these holdings is rented from a Matthew Corcoran, possibly a relative. You can look at the records here.
So the best you can guess is that Michael died between 1851 and 1862.
Do you know for sure that Elizabeth and Catherine had died? As they were older it is possible that they had married and stayed in Ireland with their families.
There is a record of a marriage of an Elizabeth Corcoran to Patrick Feighey Sept. 1 1859.
It is also interesting to note that Find my Past has given the names Denis Corcoran and Ellen Dunne as the parents of Elizabeth, but it is clear when you look at the register that the priest had made a mistake and crossed out those names to replace them with Michael and Catherine. However it could be a hint that Denis and Ellen were related to Michael and Catherine. I have submitted a correction note to Find my Past about this.
I did not find a likely marriage for Catherine in Rosenallis but there is a gap in records between 1859 and 1865.