"every player who was on the official ballot in that year, along with the number of years they had been on the ballot...." Reference to official ballots is a little misleading for the early elections. I think that it has only been since some time in the 1950s that the writers were sent a list of names and instructed that only those named were eligible candidates - before that, the votes were all, in some sense, write-ins (except for the occasional runoff election).

Even for more recent elections, there are some problems with the phrase, "on the official ballot." E.g., the 1994 table,
http://www.baseball-reference.com/awards/hof_1994.shtml
says it was the 3rd year on the (offical) ballot for Pete Rose. My understanding is that Rose has never been on the ballot. It was the 3rd time he got some votes, but he wasn't actually on any ballot.

Warren Spahn is always listed among those inducted on their first ballot. I was astonished to see that this is technically untrue, as your table shows he got a vote in 1958. Spahn was, of course, still active in 1958 - he pitched two no-hitters after 1958 - and the five-year waiting rule had gone into effect some years earlier, so this is either some writer brushing the rules aside, or a mistake in your tables. The vote for Spahn doesn't show up in the tables in the 3rd edition of Total Baseball.

The box score of the July 27, 1985 game (noted in the comment above) would have you believe that Frank DiPino, who gave up six hits and six runs and retired one batter, had a better game than Roger McDowell, who gave up two hits and two runs and also retired one batter. Why? Because McDowell gave up two earned runs and DiPino none.