I don't see any reason to believe it's an OEM board. They usually stamp their logo somewhere on the board. They also tend to use Phoenix BIOS. Using MR-BIOS would be highly unusual. In my opinion, it's just a typical no-name 386 motherboard, and you'll probably never find out who made it.
Fortunately, there are few jumpers to figure out and you have a good chipset and 256kb cache.
Also, although we already have MR-BIOS for this chipset, maybe you could dump yours anyway incase it's a different version.
"Will the highways on the internets become more few?" -Gee Dubya
V'Ger XT|Upgraded AT|Ultimate 386|Super VL/EISA 486|SMP VL/EISA Pentium