If the wobble feels like it is coming from the front end, try rotating the tyres and see if the wobble is coming from a different source. If yes, I would recommend a dynamic wheel balance from an alignment specialist.
I had a similar problem with a 49 Ford. When the tyre in question warmed up the problem would dissipate. It was also very pronounced at low speed but would also disappear over 40KPH
My wobble problem was solved with four new tires. The right rear tire was coming apart (I have no idea how long that set of tires were on the car). With the new tires, everything is back like it should.