I would suspect it glow plug related. The old 7.3's were unwilling to start in temps below 30 degrees if even ONE glow plug was faulty. Start with the relay, if it tests out good then move on to testing the individual glow plugs. Have fun if you decide to do it yourself...they are a b!?@h to change under the valve covers.
Oh, and never ever use ether (starting fluid) on an engine with built in starting aids, glow plugs ect. I have seen heads split in half, intake manifolds thrown across the shop, cranks broken, and engine blocks ruined because of it. If you have no other choice, make for damn sure you disable any preheating device before you use it.