[Johnny Ringo]

Am I mistaken or is part (c) usually called a jump ball?

Not saying that is correct, but seems that is always called a jump. And indeed would be a jump ball if A1 returned to the floor while B1 also had a hand on the ball.

Now, I understand that if B1 just touched it while it was still in the hand of A1and B1 was not touching it when A1 returned to the ground - that a travel would be correct.