The actress died with her two sons Daniel and William Lawton by her side, reports the Brighton Argus newspaper.
Dora spent most of her life in Brighton, before moving to a nursing home in Hove.
Her son Daniel has said: "It was heartbreaking but it was peaceful. She just left us.
"She was a tiny woman but her constitution was incredible.”
He also commended his mother’s acting career, adding: "She loved being on stage, that's what she wanted. Not only did she do it, but she was good at it.
"She was a star, and a mum."
Dora starred in a number of British TV shows including ‘Last Of The Summer Wine’, which she starred in for five years as Ros Utterthwaite, and ‘Ab Fab’.
Dora also made appearances in ‘Doctors’, ‘Holby City’ and ‘Dinnerladies’.
In 1996, she was made an OBE for her services to drama.