Drum or disk brakes? Either way, if the drums are out of round, or the rotors are warped, rolling down the road can set up a vibration that will escalate into death wobble.
My '97 Jeep XJ was notorious for dragging/sticking front calipers that would not always fully release, causing the pads to drag on the rotors and overheat them, causing them to warp. I'd be cruising down the road, feel the wobble coming on, and suddenly it was like The Hand Of An Angry God had grabbed the front axle and was yanking it side to side as fast and as hard as he possibly could. I'd get it slowed down, pulled off the road, and have drivers behind me stop to check on me because they had seen it shaking so bad.
Fun.
I did all the usual fixes - new steering damper, new track rod bushings, checked the alignment, rotated the tires, etc - when I finally replaced the front rotors, calipers, pads, and flex hoses, problem went away.