They player on the list that most Mormon Baseball fans know, and perhaps hope will make the Hall is Dale Murphy, now a former mission president. Murph was on the ballot this year for the 13th year in a row, still not getting the votes needed to be inducted in the Hall of Fame, but also not getting so few votes that he is dropped from the ballot next year.
Under the selection rules, players must get votes on 75% (436 votes) of the 581 total ballots to be inducted into the Hall of Fame. To stay on the ballot, they must get votes on at least 5% of the ballots (30 votes). Players are eligible for 15 years starting 5 years after they retire.