Ocean City MD show tow

Wouldn't tow it with a tow dolly. We towed my brothers dirt track car (66 Coronet)with a tow dolly, the first night we tried towing with the rear on the dolly and without a lock on the column the car wander back and forth and we couldn't go over 30mph, after that we said screw the trans(auto)and towed with the front wheels on the dolly and it still wandered a little, but not as bad. We towed it with a 49 Dodge 1/2 pickup. This was in the early 90's.