Wow, thanks to every body. a bit much for me at the moment, I'll have to read through a couple times again & slower.

I did have accompanyment for singing in mind & from what my singing partner tells me ADG would suit my voice best. That said I do attend Irish sessions (bodhran) so the tunes have ben burnt into my brain over the year so Iwould like to eventually like to play irish style but I don't see me at that level for quite some time, if it workd=s out at all. I have noticed that going across the rows that some note were the same on the oposing push & pull.
Thanks Brian for going into a bit of detail (hopefully we'll see each other again, soon) & thanks for the mention of watson's book. The box is a Morelli, yes, it's alot like the Hohner Corona III & is used alot in Tex-Mex except the Hohner's about 4x the money.
Thanks Anglo for the mention too about Dave Mallinson's books too, looks like I should find a copy of each.
Well it's looks like I can call it what ever I want for all that it matters. My sister once had a dog she couldn't give a name to so it answered to "shithead", I'll do better I promise. Maybe a "3 row diatonic button box" or maybe "button accordion" will do.
Thanks
Barry