Chloe Muir's goal gave Accies the lead at half-time.
Hamilton dropped to the bottom of the SWPL after a 4-2 defeat at Motherwell in the Lanarkshire derby.
The visitors led at half-time after Melissa Reid and Chloe Muir netted either side of Morgan Cross' Motherwell leveller.
Cross struck again to make it 2-2 and Paul Brownlie's side scored twice in the final 20 minutes through Amy Anderson and Joanne Addie to secure victory.
Accies are now a point behind Dundee United, who drew at Aberdeen, with a final-day home game against Montrose to come this weekend.
Seventh-place Motherwell have a two-point cushion over Aberdeen.
