County looked set to cause an upset as they built a comfortable second-half lead before the Hawks fitness and power saw them run away with the game.
Hawks tries came from doubles by Ross Miller and Dean Kelbrick with Craig Gossman, Joffy White and Adrian Smith crossing for singles.
Andy White added two penalties and three conversions with Craig Gossman and Peter Jericevich adding two more.
You can see some photos of today's game at the bottom of this article.
Ayr grabbed a bonus point 31-23 win over Dundee HSFP at Mayfield to stay just one point behind Hawks.
Ayr's tries came from Jono Crossan, Mark Bennett and a double from Grant Anderson.
Bennet added three penalties and a conversion.
Glasgow pro Peter Horne kicked two penalties and two conversions for Dundee.
West Of Scotland went down 41-21 to Boroughmuir at Meggetland.
West tries came from Alex Fisken, Richard Dalgleish and Elliot McLaren.
Alistair Stevenson added two conversionas while Michael Sim slotted over another.
Scottish Premiership One
Boroughmuir 41 - West Of Scotland 21
Dundee HSFP 23 - Ayr 31
Glasgow Hawks 46 - Stirling County 26
Hawick 14 - Melrose 19
Heriot's 20 - Currie 16
Selkirk 23 - Watsonians 20
Scottish Premiership Two
Biggar 41 - Stewarts Melville FP 21
Falkirk 29 - Aberdeen GSFP 28
GHA 10 - Edinburgh Acads 29
Gala 19 - Hillhead-Jordanhill 9
Kirkcaldy 16 - Jed-Forest 16
Peebles 31 - Kelso 17
Scottish Premiership Three
Ardrossan Acads 30 - Hamilton 30
Cartha QP 29 - Perthshire 16
Dalziel 43 - Morgan Academy FP 13
Dunfermline 5 - Whitecraigs 55
Haddington 16 - Dumfries 9
Howe of Fife 24 - Musselburgh 9











