Mount Falkiner

Notes passed down from my ancestors refer to a Falkiner from Mount Falkiner. I have also seen reference to this in some Obituaries of those descended from Charlotte and Henry Falkiner - "Falkiners, of Bushy Park and Mount Falkiner, county of Tipparary". Could Mount Falkiner be what the locals called Mount Falcon?? Also this reference from an old Newspaper -

BALLINA CHRONICLE
Wednesday, January 23, 1850

HORRIBLE MURDER NEAR BORRISOKANE. - At half-past seven o'clock on last Saturday morning, as William Ardill, steward over the property of Mr. Falkiner, of Mount Falkiner, near Borrisokane, was passing through his employer's property, a shot was fired at him.

Any clues? Thanks