Between games discussion - catcher calling time

[MD Longhorn]

Two similar situations here - how do you personally handle?

In both, Runner on 3rd, pitch is the fourth ball, BR has just started jogging to first. R1 is a normal 3-4 step lead-off from 3rd base. Catcher calls time and starts walking to the pitcher.

If you call time when the catcher calls it, say so, the following are not relevant. Personally, I don't - the ball is live, and several teams routinely send the BR to 2nd in this situation, so I'm not going to play defense and kill it.

1) Catcher reaches the mound, still has the ball. R1 starts creeping. Do you call time?

2) Catcher reaches the mound, still has the ball. R1 turns around, still off the base, talking with coach during the apparent time out. F2 gives F1 the ball, still talking, R1 still off base. Do you call time? Do you call an out?