Barnet keeper Lee Harrison's second-half error gifted Notts County a point at Underhill.
Jason Puncheon's spectacular strike from the edge of the box put the home side ahead.
Adam Tann almost levelled for County but his instinctive effort went straight at Harrison.
But the visitors earned a point four minutes into the second-half when Butcher's seemingly harmless cross drifted through Harrison's hands.
Barnet: Harrison, Devera, O'Cearuill, Burton, Gillet,
Leary (Carew 70), Wright, Bishop, Nicolau (Hatch 56), Puncheon,
Birchall.
Subs Not Used: Beckwith, Grazioli, Porter.
Goals: Puncheon 39.
Notts County: Pilkington, Canoville, Hunt (Somner 76), Tann,
Mayo, Butcher, MacKenzie, Silk, Weston (Sam 75),
Lindfield (McCann 79), Dudfield.
Subs Not Used: Sandercombe, Parkinson.
Booked: Lindfield, Somner.
Goals: Butcher 49.
Att: 2,089.
Ref: Andy D'Urso (Essex).
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