Annan Court is due to close today as part of a re-organisation by the Scottish Court Service.
Elaine Murray, MSP, has been critical of the closure.
The closure means all the court business will be transferred to Dumfries.
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Storm Doris is set to bring wet, windy and wintry weather to the region.
Carl Hodgson, who lives in the town, was sentenced to three years and six months behind bars at Manchester Crown Court today.
The group fears a hoard of Viking treasure found in the region will be moved to the national museum in Edinburgh.