Ejected player making a play

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Hi all,

i need some help finding the answer/rule reference for the following scenario. Any help would be greatly appreciated!

We are talking official Rules here:
R2, 1 out
The batter rips a line-drive base hit to the center fielder. R2 heads home and is called safe on a close play. the catcher goes ballistic and is immediately ejected from the game. Meanwhile, the batter-runner is advancing to second. The catcher (who was just ejected) fires to second and teh batter-runner is called out trying to reach second base. Since the catcher was ejected before the last play, the umpires correctly nullify the out and return the batter-runner to 1st base.
True or False?

No I know that teh catcher cannot participate once ejected. I do not agree with the runner being sent back to 1st though. He would have been safe had it not been for the catcher throwing the ball. Pleas help me out with this one and a rule reference would be greatly appreciated.

Thank You