I can't think of a side valve Briggs that was advertised as 4 hp (there were very popular 3.5 hp versions at that time though), so it might be a re-powering job.
The 11 cubic inch vertical shaft sidevalves of the 80's were certainly badged as 4hp. I've got a Model 114902, Type 0174-01, Code 85072208 original engine on a SupaSwift Big Bob, that is.