Police were called to a property at Outgate, Ambleside last night at 10:00 pm, after receiving reports that a woman had been assaulted in the property.
An investigation was launched and a man aged 48 from the Ambleside area was arrested nearby on suspicion of murder and remains in police custody.
Police are working to formally identify the woman.
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Three girls have been hurt after a stone was thrown through the window of the school bus they were travelling on in Carlisle.
Drivers are being urged to take extreme caution when driving this morning, as heavy snow covers routes across the ITV Border region.
The Met Office has issued a new amber weather warning for snow for the south of Scotland, and a yellow warning for parts of Cumbria.