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Appears to be a Compaq Portable II, which is a 286 PC clone, not an 8080.

Yeah, 8080s never ran MS-DOS. The original IBM PC, for which MS-DOS was written, had an 8088 procesor.

The original Compaq Portable that my family had growing up ran Compaq DOS, IIRC.

Yes, but it had an 8088, not an 8080.

I suspect it is actually a Portable Plus. I've got one and it has an 8088 processor along with the dual floppy drives shown in the picture.