NFHS 2-11-6 and NCAA 2-11-6 would seem to imply that it *is* your job.

I guess I didn't explain enough. Those rules state that it is the scorer's duty to inform a team/coach, through an official, that they have used their last allotted timeout. When I check the book, I am only looking to see whether a team has any timeouts left. I am trying to avoid the situation where a team requests a timeout and then I go to report it only to have the scorer, at that point, tell me they've used all of their timeouts already. At that point, I've got no option but to assess the "T". Also, when I check the table, I inquire of every scorer there, not just the home scorer, as to the number of timeouts each team has left so there are no discrepancies after I leave the table. For example, the home book has the visiting team with one timeout left but the visitors think they have two. I also only do this during a full timeout when I'm not administering the throw-in. Once a team has used their last timeout, I then inform the head coach that that was the last allotted timeout. That is the only time I tell a coach anything regarding timeouts because that is preventive officiating. I'm preventing the "T" at that point unless the coach wants to buy an extra timeout. I then tell my partner(s) that team A is out of timeouts. If a member of my crew has checked with the table and each team has two timeouts left, and more timeouts are called after that point, and I can't keep count in my head and subtract from two, I'm in trouble. I never trust the scorer's discretion or communication abilities. At every camp or association meeting I've ever been to, it's been stressed that as part of game management, never trust the table to tell you things you should know (i.e. who has the arrow, where is the ball going to be put in play, is it a spot or can they run, who's the shooter, who went out when subs came in, how many team fouls are there, how many timeouts has each team used/has left). After one of my games, I had a supervisor come in and actually quiz our crew as to team fouls, time outs used per team, etc. One of the college guys I work with, at half time, often goes over how many timeouts each team used in the first half, who has the arrow to start the second half, and where most fouls have occurred on the floor (paint, perimeter, transition, press, etc.) The guy is amazing.

I agree with all that you wrote in this additional explanation.

Wish that I could keep track of all that -- I can get the arrow, team fouls and TOs (if I really try). Subs and foul locations are way too much (for me). :)