I got 280000 series OHV engine that the previous owner removed the starter, carburetor and intake just because the engine would not turn thru a cycle. LOL it was only a valve adjustment. Just waiting a donor engine to do the repairs as new parts cost more than what I can sell the used engine for.
As for the series all you need to basically is the CI displacement, crankshaft orientation, starter type and get get you the basic number using the Briggs numbering system. Still won't get the exact model number or type number but at least have idea of what it is.
Exact model model, type and date code are needed when rebuilding as things like piston, rings and other options usually have changed during the life of the series.