The engine speedis normally controlled by a vane in the draft from the fan near the recoil starter. Engine slows draft drops, vane moves, opens= throttle, draft increases etc. Thesprings and linkages associated with this are uselly very sloppy and not easy to really follow what is going =
on with engine stopped. It might just be a spring in the wrong place/broken or similar for a linkage including bent.
That is another possibilty our mower got one of the little flap valves stuck open and that made the engine hunt. Found it when I carefully took= the carb off the tank, put back ensuring flap valves in right place and =
decent overlaps etc. That was a number of years ago now...
A McCullock (McCulloch?) probably has a Briggs & Stratton engine their website is pretty good with full manauls etc. Bu may not cover the throttle linkages as that is really part of the mower not the engine. Tr= y the McCulloch site?