Some comments.
1) As unlikely as it may seem at first, Aiden/Aidan is in fact the same name as both Moses and Mogue. So you need to consider those variants in your searches.
2) Enniscorthy was part of the estate of the Earl of Portsmouth. There is somewhere on the internet a listing of the tenants in the town ca 1820s?
3) You say nothing about the birth of Edward Byrne in Liverpool in 1823. Have you looked for a baptism record?
4) What was the occupation of James Byrne?
5) Godparents were often, but not invariably, relatives.
Thank you for your reply, i have looked for all variants of Aiden but the family seem to have vanished. Edward is who i am really interested in, but hit dead ends so am tracking down the Byrne's who lived at the same address to so if they could shed any light..... however they are just as tricky. My gut feeling is that Edward was not born in Liverpool & was born in Ireland not sure if wanting to join the merchant navy & rising to the ranks of captain had anything to do with this, i had hoped that i would find a baptism record for him along with the Byrne's in Enniscorthy but i did not. There is no birth or baptism record for Edward that i can find, James was a Merchant.
I did write down the names of godparents.... & put it away safely as i didn't have much luck! I shall dig them out & try again. Thank you for the tip on the Earl of Portsmouth i will have a google.