That lathe set up is almost exactly what my 11 inch South Bend looked like when I bought it in 1966.
The machine is very large for a bench lathe.
It seem as though lathe manufacturers offered large lathes like that as an economy measure. Just the lathe - no under works.
The rear mount motor drive on the machine is of South Bend make.
Having seen one or two pre 1920's South Bend lathes, I can readily understand how someone can mistake this lathe for a South Bend at first.
I m not sure why someone putting up an eBay ad would not read the name of the lathe when it is in plain sight.
By he way, Seneca Falls lathes were a much better crafted machine than the South Bend.
The lathe appears to be mechanically complete I think it would be an ezcellant machine for a home shop machinist.