I recognized (and could play, at least to session standard) everything on Diane's list except "Kempshott Hunt". But then I play mostly English music so you'd expect me to know those. Despite Diane's fair point about a degree of globalisation in the session scene, I wouldn't expect an Irish or American Old-time fiddler to know many on that list. If (as I suspect) the session scene on Staten Island is more Irish in character, you might try looking at www.thesession.org which contains loads of Irish tunes and has a forum where you might ask which are the commonest.

But start by learning "Soldier's Joy" - EVERYONE seems to know a version of that.