Two pregnant ewes sustained severe wounds to their heads after being attacked in a field on Glebe Road, Bowness on Windermere.
Police believe the attacks have been by dogs who have been off leads, unattended and allowed to chase sheep in fields.
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A soggy start to the Christmas week will be slow to clear.
Continuing cloudy and mild with outbreaks of rain, heavy at times over Galloway
Cloudy with outbreaks of rain, heaviest in west