I have to state first I'm coaching not officiating. But my question would be two-fold; one, did the player actually stop dribbling because I believe the HS book is fairly clear that traveling cannot occur during dribbling and two, isn't the trailing official obstructed such that he should only be calling what he does see and not what he thinks he sees?

What He Thinks He Sees ...
 

She didn't stop dribbling.

You got that right.

Live Ball Timeout, Or Travel ???
 

He had an opportunity to grant a request for a timeout (as he should have been prepared to do if requested), or to call a "travel" violation.

In my opinion ...

https://tse3.mm.bing.net/th?id=OIP.2...=0&w=240&h=184

I would have granted the timeout request. The player had control of the ball and was the one who made the request. I would have blown the whistle, said, "Timeout, white", designated the spot, and sent the teams to their benches. I would then report the timeout and tell my partners about the situation. If needed, I would blow the whistle multiple times to ensure all action stops.

Realistic Possibilities ...
 

Easy to do if you weren't the trail official who made the incorrect call. Trail didn't see it that way. That can't be undone, unless ... Maybe he needs a little help.

Two realistic possibilities here. Trail, thinking that he sees the player touch the ball with two hands makes the "travel" call. Both partners invite him to a discussion to take place away from the irate coach. "What did you see? Player touched the ball with two hands and dribbled. That's not a travel, that's an illegal dribble, but the penalty is the same. Did you get a good look at the two hand touch? Not really, what did you guys see? I was the lead, had a great look, and I saw her bring up that second hand, but she never touched the ball. You may have been straightlined at the last split second. Thanks for the help. Inadvertent whistle. White had team control, so White ball. Do you still want the timeout coach?".

Another realistic possibility. All three officials gather away from the coach. Lead (or center) says, "I heard your whistle, and saw your stop clock and travel signal, but the player and/or coach request for timeout clearly came before your violation. Sounds good. White ball. Timeout White".

No overturned calls here, just the Trail being offered help, and accepting help, from his partners.

The crew is only as strong as its weakest link, unless the weakest link has great partners.

https://tse3.mm.bing.net/th?id=OIP.t...=0&w=330&h=185

I'm imagining that I'm the Trail, and that I heard the timeout request from the player. I also see in my peripheral vision that the coach is requesting a timeout. I'm not making a call if I'm not sure what the player is doing with the ball, but since I hear an apparently legitimate timeout request from player, and also see the coach requesting a timeout, I will grant it.

1) If you don't know what the player is doing with the ball, how do you know it wasn't fumbled and then you couldn't grant the TO?

2) IF you imagine that you have sufficient evidence that there's is player control, then do you think the trail in the video wouldn't grant the timeout if he heard and saw it?

I'm not sure what the Trail saw to call a travel, so that's why I would not call one.

Serenity Now (Frank Costanza, 1997) ...
 

Hopefully this takes place before the coach decides to play Frisbee with her clipboard, and darts with her marker.