Welcome to the forum.
Miswiring. or you actually have 2 hots and a ground. Say your ground is actually B (or C) phase, then all your readings make sense. A to B (ground) would be 208V, neutral to B (ground) is 120V, and A to neutral is 120V. That would be 208V 1ph. The other possibility is that those 3 conductors are A, B, and C phase, there is no neutral and ground is handled via metal raceway, and you've lost one phase.
Why were you checking voltages there? That's not normally not done unless there is a problem.
Can you post pics/video of the xfmr, the panel, and the programmable logic controller? Also, I'd take measurements in the panel, 10 in all: phase to phase (AB, AC, BC), phase to neutral (AN, BN, CN), phase to ground (AG, BG, CG), and neutral to ground (NG). That will give you and us a much clearer picture of what is going on