Correctable error

[Clark Kent]

BV game last night and I had my first correctable error. (possibly have had chances at others, but wasn't smart enough to catch them).

A1 who had the ball at the top of the key is fouled by B1 while A2 is held by B2 right in front of me. I hear my partner's whistle blow just as my arm was going up and A2 saw it and thought he was fouled. I was well aware that A1 was our shooter knowing that I didn't have a foul as lead on the play and called out to both my partners that A1 was our shooter. I retrieved the ball and addressed a player while my partner reported the foul and I verified that it was 1-1 with my partners. I bounced the ball to the shooter stepped back into my position as the shot went up and in. It was then that I realized that A2 was shooting and not A1. I blew my whistle and ran to my partner who made the initial call and asked him who was fouled. He also realized we had the wrong shooter. We put the right shooter at the line for the first of 1-1, but what I think I botched was that even though I waived off the ft after the make I am not sure if the table got the information. It ended up being a 10 point game, but still wish I would have paid better attention.

Now had the table not gotten the info of the first free throw not counting because it was shot by the incorrect player, I could have (or the R) corrected that anytime though out the game? Correct?