Well there are LOTS of hits from "KM44C256AJ-8" if you do a search, but I am wondering if this is the number of the chip used on the vram card or the number of the card part itself. I get mixed messages from a hit like this, which on the one hand makes the part look cheap and readily available, but which also suggests that the number refers to the SOJ used rather than to the part number of the actual vram needed.

Still, very helpful lead.