2 questions?

[t2nyval]

Thanks Rich. Im now clear on the "time" rule but I dont think I got what Im looking for regarding the first question. How long can a walked batter keep advancing around the bases when the pitcher regains control of the ball after pitching ball 4. Another part of the same question is if someone is on 3rd, the batter who walks turns and heads to second and a throw is made to 2nd to get him out, can the runner on 3rd advance home? or must he stay at 3rd until the next pitch crosses home plate (if he then chooses to steal).