I finally got the car to the shop on Wednesday. They checked to see if the problem was the timing, and they determined that it was not.
The issue seems to be the carburetor. It is leaking in a few places around some of the moving parts, and it is also leaking from the base gasket. I can fix the gasket leak myself and I ordered a new carb. It should be here next week. I opted to go new instead of rebuilding.
On Thursday, I called around for a base gasket, and the third place I called had one. Off I went, and, yeah, wrong gasket. Four hours later, I drove to an engine rebuilding shop. One of those guys that has been rebuilding engines for ever. When he saw the base gasket, he knew exactly where it came from, and also knew that he did not have one in stock. So, off he went to the back of the shop and came out with a spare gasket that I could place between the old gasket and the base of the carb. This should do the trick until the new carb arrives, and at least stop the leaking from the base.
So, I get home and install the. New temporary gasket and hooked everything back together. I am very proud of myself, as so far everything is working according to plan, until I try to attach one of the two pipes that run from the intake manifold to the carb ( for the choke ). Shaped the darn thing flush with the manifold. After a few choice words both in French and English, I decided to start the car without the pipe connected, to see if the carb was still leaking from the base or not. Started no problem, and no leak. All was good.