Not Irish, but a dance tune from the North East of England: Cuckold come out the Amrey ("Amrey" is a cupboard; from French "Armoire."). The Fiddler's Companion suggests that it's a re-working of the Scottish Struan Robertson's Rant, which is certainly possible: the latter tune seems to have published considerably earlier.

Information, and notation in abc format (which can easily be converted to conventional staff notation at Concertina.net) on most of the tunes you are asking about can be found at The Fiddler's Companion, though you should bear in mind that the details there are précied from numerous sources, some of which are accurate, some of which are not; and since those sources are often not properly identified, it can be hard to tell which bits to believe.