Oh my gosh, you've given me quite a list of possibilities, and I have visited Kilbeacanty online, heard Mae someone singing an Irish folksong, which includes refs. to "Michael Cooney" so I left a query on the website. Busy!
The other children of Timothy b 1840s, were John Richardson, Margaret, Jane, Timothy and Patrick. Death records are in the USA and have found them, listing parents Timothy Cooney and Margaret Richardson in Galway. I did find that son Timothy went to Canada and died there.
But still no trace of the parents after baptisms of the children! Any ideas further?
AND THANK YOU SO MUCH!!