Hi there,
I looked into this and found a baptismal record for a Michael Mulkerns ,Baptized on 1 sep 1855 in Galway. His parents were listed as Patt Mulkerns and Margaret Flaherty. I found a baptismal record for Patt Mulkerins 12 Oct 1838 in Galway. https://registers.nli.ie//registers/vtls000634217#page/1/mode/1up
I added a number of sources and links to Michael's biography for you to look at.
Here are a number of places you can look for potential information for Irish ancestry.
http://www.celticcousins.net/ireland/index.htm
http://www.igp-web.com/IGPArchives/ire/galway/index.htm
http://www.irelandoldnews.com/Galway/index.html
http://www.ireland-genealogy.com/
https://tiara.ie/
Graveyards https://www.irishgraveyards.ie/index.html
https://www.irish-genealogy-toolkit.com/