I'm not sure about the point system - A Taste Of Honey didn't receive a single positive vote but gained 7 negative votes, whereas Anna reveived 6 points but 8 negative votes. It seems obvious to me which is the least popular on the album!
(Sorry - Anna is one of my all-time favourite songs and it bites to see it getting a wooden spoon! :-/ )
OK. There are basically two separate votes going on here. The three best, and the single worst. Anna recieved 8 points in the best category: 3pts from you (1st place), and 3pts from Michelle Revolution (1st place). That's only 2 voters who had it in their top 3. 8 voters thought it was the worst song.
A Taste Of Honey recieved no votes in the best of category, but that doesn't mean that it wouldn't have come fourth or fifth in some voters selections. It just didn't come in their top three. Basically, the three that came top: I Saw Her Standing There, Please Please Me, and Twist And Shout, milked it.