"Bejewelled" is a puzzle game that you can download and play on your computer in many different modes. You can also record your high scores, along with your friends', so that you can remember who has done the best in past games. Though you cannot delete one individual name on the board, if the score board gets too cluttered or you want to eliminate all the scores that are listed, you can do so.
Open the "Bejeweled" game.
Click on the "High Scores" button on the main menu.
Scroll down to "Clear High Scores."
Click on the button; the names on the score board will be deleted.