With Reference to Galway Bay - the last verse speaks of "that dear land across the Irish Sea". This would suggest it was written in Great Britain.
I did not see any mention of "The Old Bog Road" or "Slievenamon" on the list.
I groaned when the topic of what is "Folk" and what is "Traditional" was raised. I spend loads of time in Kerry and the "tradition" is still alive there. Therefore, the term traditional becomes redundant. People don't sing songs because they are trad or folk but because they are bloody good. You only need to get into definitions like these to protect the tradition when it is dead or dying.
Get yourselves to Ireland and sing whatever strikes you as a good song!!!