Overrunning 1B

[Tim C]

Again, I give the odd play that can happen is NFHS:

3 Balls and 2 Strikes . . . first base unoccupied.

A pitch is thrown that is in the dirt . . .

The batter places himself in a checked/unchecked swing position by "maybe" offering at the pitch.

The ball rolls away from F2 and the BR takes off for first.

BR beats the throw from F2 and overruns first base. HOWEVER, F3 for some unknown reason chases after the BR and tags him.

F2 then turns to the PU and says: "Can you get help? I think he went."

So now (correct me if I am wrong):

When the PU goes for help if:

The BU says: "No Swing" that makes this a base on balls (and normally a free trip to first base) but with the tag the BR is now out.

If BU says: "Yes, he went" that makes this a stirke out (and normally an out) but since this was not a walk the runner would now be safe.

In NFHS baseball is this concept correct?

Regards,