Trojans slid down to third place in Slazenger Women's League Division 1 after allowing the lead to slip against Firebrands.
Prospects appeared good for Trojans when Laura Nicholls fired them into a 50th-minute lead.
But the Bristol side converted a penalty-corner equaliser four minutes from the end.
Southampton remain rooted to the foot of National South after a 6-1 drubbing at third-placed Sevenoaks, where Nick Berry scored a late consolation goal for the visitors.
A Sally Gibson double enabled Trojans II to come from behind and draw 2-2 with Spencer in South League 3B.
Andover remain undefeated at the top of the Hampshire League after a 2-1 win over Southampton, but a 4-1 victory at Petersfield means Fareham are only three points behind them.
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