Taking your partner's ejection

[BigGref]

Yesterday I had a Double header (HS age), 2nd game crazieness ensues ending with my partner (BU in C position) calling a 3rd out at 3rd (a close call tag, but looked good from my vantage at home).
After my partner called it he stood up and started walking back to A for the next inning. As he is doing this I see the recently thrown out player get up and start taking strong steps toward the umpire while his back is turned, before I can say or do anything the 3rd base coach runs to get between the player and the BU and kindly deflects him to the dugout.
My question is should I have informed the BU about this? I say this because apparently the whole next half inning the player (who was the 1st baseman) was jawing at the Ump. I come up to him after the 1/2 inning and he says the player had been jawin' the whole time and anything else he would of dumped him, I then mention the half charge that he did while BU back was turned, he then said he would have probably thrown him out if he knew about that.

So do you tell Him? if so when? Ejection?