That’s pretty neat. Looks like one of those “build-your-own luggable” systems, that can take a standard AT motherboard. You would have been able to purchase these empty portable cases at one point just like you could a desktop case.
Probably hard to find info on because it’s just a generic machine with a company’s branding on it. Kind of like when you find an IBM clone (desktop) with an odd brand on it, you usually can’t find much on it.
In other words, there’s a good chance that TransData is not the OEM of this machine.
Does this machine have an EGA display? I see some EEPROMs on that video card which makes me think it’s more than CGA.
Also, you can thank Compaq for the nifty design of that case

These were absolutely modeled after the Compaq Portable III/386.