You've got some good expert advice already. Jack the car up and grab either front wheel at top and bottom and try to rock. If there's play, you've got king pin or wheel bearing problems/wear/damage. With the car on the ground, have an assistant rock the steering wheel back and forth and look for movement in the linkage under the car. If there's looseness at the tie rod or drag link ball joints, these will need to be repaired. If on the other hand, there's little to no movement in these linkages and the pitman arm is still yet the steering wheel has loose movement back and forth, the steering gear box needs repair and/or adjustment.
I'm no expert, but did rebuild my 1930 coupe's 85 year old front end, steering, and brakes all the way out last winter and the difference is really unbelievable. Other things to look for as you get into a rebuilding project is the condition of the balls on the spindles and pitman arm. At 85 years of wear and the dirt roads of Model A days, these will frequently be ovoid shaped rather than round and will need to be drilled out and new balls welding in.
Don't be put off by everything though. I'm strictly a hobbyist yet I went through the entire front end, steering, and brakes last winter with a little machine shop help here and there and the result is really rewarding.