So here is the project, I have two peristaltic dosing motors that run on 115VAC and an arduino with relay shield that runs on 7-15VDC for turning the motors on and off. I want to enclose all of this in a metal instrument case with a single power cord. So what I'm looking for is a small AC-DC power adapter that I can enclose in the project box to keep the whole thing simple. Does this make sense?
You don't mention the motor power requirements beyond the voltage? Anyway, I don't see why you can't just use a well filtered wall wart to power the Arduino and associated low DC voltage stuff. Why strip the wall wart? I have a 12 VDC 1 Amp wall wart I use to drive a small 5 volt regulator with for some of my old uC projects. You need to better define what you need for voltages and currents beyond the 115 VAC for the motors.
I'd go for a small 12V wall-wart. A 0.5A rating should be more than adequate if you're only driving 1 or 2 relays. The relay contacts, of course, would need to be rated for a 115VAC inductive load at > whatever current the 2 motors draw.