She was cleared of killing seven people who died after a fatal outbreak of legionnaires' disease at a council arts centre in summer 2002.
Barrow BC has already pleaded guilty to a health and safety offence.
Today, the following statement was issued by Jeff Bright, Barrow BC assistant director (personnel and performance):
'Firstly, on behalf of the council I wish to offer our sympathy and sincere apologies to everyone affected by the legionella outbreak.
The council accepts this judgment unreservedly and will consider its implications with its legal advisors and issue a fuller statement in due course.
Gill Beckingham has been through a long and arduous legal proceeding and will be given some time to recover before the council makes formal contact with her.
We anticipate the council will meet the fine costs totalling£215,000 from its reserves.'