Hi Lex. Welcome to the forum
First question is whether you have a Thunderbird damper or a car/pickup damper. The Thunderbird damper is considerably longer which makes them easily identified. The damper rings on the passenger car/truck units where the timing marks are located are prone to slipping thus making those a problem when trying to time the engine. The timing marks on the Thunderbird damper are on the pulley itself and any damper ring slippage on that damper will not affect the timing marks.
For double checking the existing TDC mark, two methods come to mind. The first is to simply remove the valve covers and rotate the engine until #1 or #6 cylinders have equal intake/exhaust valve opening at overlap. The exhaust is closing while the intake is opening. When both valves are open equally, the TDC mark is expected to be within 4° or so of TDC. Use a straight edge across the retainers to insure equal opening amounts.
The second method is to remove all the spark plugs and then put a piston stop in either the #1 or #6 cylinder with either piston down in the hole a good distance. With the battery disconnected, rotate the engine forward by hand or with a wrench on the damper bolt until the piston contacts the stop. Mark the damper where the timing tab is pointing. Then rotate the engine backwards until the piston again contacts the stop. Again mark the damper where the timing tab points. Exactly halfway between your two new marks is TDC. If all is well, the timing tab should be pointing at the original TDC mark on the damper.