Celtic were quickest out of the blocks against the Forfar Farmington senior side and were first to threaten when Hayley Cunningham’s dangerous cutback was hacked away.
A Farmington free kick failed to threaten Gemma Fay’s goal as the home side looked to assert themselves on the game.
Cunningham tried a lobbed shot in the 25th minute which Fitzsimmons had to watch carefully over her crossbar.
The Farmington shot stopper was called into action a minute later producing a fine save to tip a Suzanne Grant shot round the post. Celtic made the breakthrough on the half hour mark when a run in behind the Farmington defence saw the ball cutback to Megan Sneddon who coolly fired the ball home.
Celtic doubled their lead when Grant made the most of an error to bear down on Fitzsimmons and fire home.
Farmington showed a renewed vigour in the second half and started extremely brightly with Caroline Heron shooting just past the post from Emma McCulley’s cross.
Farmington lost the services of Lucy Graham through injury, and whilst playing with ten players had arguably their best opportunity to score.
A triple substitution saw Caren Webster, Abbi Grant and Stephanie Milne introduced with all contributing to the continued steadying of the Farmington ship. Right at the death Fitzsimmons denied Grant again, with Small firing into the side net at the other end just before full-time.
A disappointing first half performance was tempered by a much improved showing the second period, however with the damage having been done already Farmington conceded the points and will now host Aberdeen next Sunday with a view to returning to winning ways.