Well, I got the Raising Arizona DVD last night and here are the answers to my questions.
The names of the Arizona babies (in the order they appear on the headboard of the quint-crib) are:[ul][li]HARRY[/li][li]BARRY[/li][li]LARRY[/li][li]GARRY (with two Rs)[/li][li]NATHAN Jr[/ul]The first shot of Glen and Dot’s kids shows five of them beating the crap out of H.I.'s car, but only three of them are referred to by name:[ul][]Buford (Writing “FART” across the wall of the “starter home”. “He’s a sly one, already knows his ABCs.”[/li][li]Mordecai (“Mind you don’t cut yourself.”)[/li][]Ray (“You take that diaper off your head and put it back on your sister where it belongs!”)[/ul]