Base Award

[Rick Vietti]

I posted this originally in the softball forum but I would also like to know the ruling for baseball.

Please indicate:
OBR
NFHS Rules

A friend posed this play to me and I am not sure I am correct and of course I would like some other thoughts and rulings.

Runner on First, One out. Ball hit to deep center and R1 takes off. CF makes Willie Mays catch. R1 is between 2nd and third when CF fires the ball back to first base. CF's cannon of an arm throws the ball into dead ball territory before R1 can return for the tag up.

What is the Award?

A. Third base after going back to First and re-tagging.

B. Home after going back to First and re-tagging.