Wow Pope, you of all people I thought would have spoken up when you noticed the mistake!
Aside from that, the dealer actually got it right (if you forget about the fact that she didn't call the floor immediately). I'm guessing she got it right because she was trying to hide her mistake though, not because she's a floorman in disguise.
If there is action on a board card, it plays. Then, all efforts should be made so that the next board card is the correct card in sequence. Before using the top card however, the floor should count down the muck and make sure that the "extra" burncard isn't just a random card from the muck that was accidentally wedged under the initial two burns.
Quote:
16. If the dealer fails to burn a card or burns more than one card, the error should be corrected if discovered before betting action has started for that round. Once action has been taken on a boardcard, the card must stand. Whether the error is able to be corrected or not, subsequent cards dealt should be those that would have come if no error had occurred. For example, if two cards were burned, one of the cards should be put back on the deck and used for the burncard on the next round. On the last round, if there was no betting because a player was all-in, the error should be corrected if discovered before the pot has been awarded, provided the deck stub, boardcards, and burncards are all sufficiently intact to determine the proper replacement card.
