The quarter-final at Delancey was eventually settled in an exciting and dramatic final end, Beere turning a big score against her into a winning situation.
The match of the round started evenly enough with each player scoring a single and a double to be 3-3 after four ends.
But Beere opened an 11-7 lead after nine ends and she seemed set for a comfortable win when she took the next five ends with a sequence of 1, 3, 1, 1 and 1 to lead 18-7 and just three short of the finishing line.
Le Ber had to lift his game and duly did, winning the next five ends with a 2, 1, 4, 1, 2 combination to only trail by one shot at 17-18.
On the next end, he then drew his four bowls near the jack and was on the verge of a remarkable comeback win.
But holding two back bowls Beere elected to fire at the jack, which she connected with and turned the deficit into a decisive count of three to win 21-17.
She will now play Garry Collins who beat his father Nigel 21-10.
More bowls in Thursdays Guernsey Press.