It comes almost one month after the death of 48-year old Jane Fitzpatrick.
She was found dead within a car on Cable Road in the town.
The grim discovery was made on Monday. August 9 when officers were called to the scene around 9:00am.
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Police inquiries into the circumstances are continuing.
Today they confirmed a 35-year-old man has been arrested in connection with her death
A police statement said: “Extensive enquiries have been carried out to establish the exact circumstances surrounding her death.
“A 35-year-old man has been arrested in connection with the death. Enquiries are continuing.”
A full report will be forwarded to the Procurator Fiscal.