Her death is a double blow for the Still Game star, coming just three months after his 12-year-old son Sonny was found dead at the family's Glasgow home.
Described as a "loving mother" and "cherished grandmother", Frances Kiernan passed away on April 15.
Sonny, a Kelvinside Academy pupil, was found dead on January 6 at the family home on Cleveden Road in the West End.
Sonny was found in the house where he lived with his father, mother Lesley, 44, and 14-year-old sister Kaye.
In previous interviews, Kiernan spoke of how Frances had raised him and his sister Tracey alone after his father walked out when he was aged three.
Kiernan is currently in preparations for his Still Game comeback.
After splitting from his comedy partner Greg Hemphill in 2009, the two funnymen announced a reunion last year.
The pair are working on new material for a run of 21 shows at the SSE Hydro which start in September.
There had been a question mark over whether the shows would go ahead following the death of Sonny.
However, the pair continued working on the script after a one-month delay.
The stage version of the popular BBC television comedy was originally planned to run for just four shows but demand for tickets resulted in 21 performances being booked at the 12,000-seat venue.
Ticket sales have topped £10 million. On the first day of their sale, more than 100,000 were sold, with demand leading to the temporary collapse of the venue's online box office.
Frances' funeral is to take place tomorrow at Anderson Maguire Funeral Directors on Shettleston Road and then at Daldowie Crematorium. The family asks that no flowers are sent.