The distributor potentially could have been replaced with an 'early' unit somewhere along the line so you've still need to verify that you have the correct 'late' distributor in the engine. The 'late' distributor is physically larger in diameter but if you're not adept at recognizing the differences in sizes, you'll need to pull the cap and check. The 'late' distributor will have curved points, the advance springs under the breaker plate assembly, and the rotor will turn against the mechanical advance spring resistance CCW when you put pressure on it. If you've got all these, then the distributor will indeed have both a mechanical advance and a vacuum advance whereas the 'early' or Load-O-Matic distributors are vacuum advance only.
Also, if using a timing light, the 'late' distributor will show a given amount of advance on the damper when speeding up the engine with the vacuum advance line disconnected if the mechanical advance curve is not 'froze' up. I'd use the aforementioned methods of identification before doing this one as a frozen advance curve can send you off in the wrong direction.

Lorena, Texas (South of Waco)