charles genter

The board member who quoted Roberts Rules of Order was quoting the 11th edition page 467. I do not understand. Please help

A member of the board resigned and the board appointed a new member for the remainder of that term. A member of the board stated that Roberts Rules of Order states that the board goes back to the last annual meeting and appoints the homeowner who had the most votes who did not get elected. The board did this. After the meeting, I asked the board member what rule it was and they stated #66 Nominations and Elections. Common sense says that's not the way it should be done. Is there any rule that states you go back to the last annual meeting??? If there isn't then the board member should resigned or be fired.