Just read your message.
I am helping a friend here in New zealand with her kenna research.
Her great-g-grandfather was Patrick Kenna we have no birth date but he was married 11 Feb 1884 to catherine Lennon.
Both Patrick and Catherine were widows whne they married.
Patrick had a sone Andrew born 1885 and a daughter Esther born 1889.
On the marriage certificate and the birth certificate for Andrew the address was 4 Corn Market Dublin.
It does sound likely we are researcing the same family.
Look forward to hearing from you.
Regards
Clive New Zealand