I don't know if you still look at this site, but I have actually found a place name with the word Amazeen in it: Wadi Amazeen in Yemen.It is near a town called "Hota."I have looked for the name all over the place, and this is the first time I've found it.It might be an Arabic name, but it also might be a Jewish name, since Hota had a large Jewish settlement.
Google "wadi Amazeen" and look at the Transactions of the Bombay Geographical Society, 1874.That's where I found it.
I am certain Amazeen is not a European name.But I'll soon be getting a Y-DNA test from an Amazeen descendant, and that should settle the issue of geographic origins once and for all.
By the way, my maternal grandmother was Clara Louise Amazeen, daughter of Frank Amazeen and Kate Plummer.