The woman, named locally as 27-year-old Sinead Stewart, died at the property on the Whitepark Road around 5.35pm yesterday.
Ms O’Lynn said her deepest sympathies were with those affected by the tragedy.
“My thoughts and deepest condolences are with the loved ones of this poor woman, who has perished in the most tragic of circumstances.
“The local community will be shocked and saddened at this news. My thanks go to the emergency services, who attempted to save the life of this woman, despite their efforts ultimately being in vain.
“I would encourage anyone with information on this fire to contact the authorities so the cause can be determined.”