The technician generally checks ignition, flame sensing, gas pressure or oil burner settings, the blower, safety switches, and the vent. For an attic or closet furnace, expect a look at the condensate drain, the drain pan, and the duct connections at the cabinet.
A gas furnace replacement means a gas permit through the Building Department, with the inspection booked by its office staff. An oil or propane furnace brings in the Stoughton Fire Department's oil burner or propane permit, and switching fuels may add a tank removal permit.
Access is a real factor in prewar homes. Attic hatches, narrow stairways, and tight closets can limit which furnace fits and how the old one comes out, so describe the location when you call.