The former MP was found dead at her home in Haytor, Devon, on Thursday morning.
Police say they are not looking for anyone else after a 28-year-old man was arrested in Rotherham, South Yorkshire.
The former MP and MEP, 78, was found dead at her home in Haytor, Devon, on Thursday, having sustained serious injuries.
Shadow chancellor Mel Stride spoke about Ann Widdecombe on Sunday with Laura Kuenssberg.
A 28-year-old white British national has been arrested in South Yorkshire, police say.
The residents of a tiny Devon village are left in shock after the death of Ann Widdecombe.
A 26-year-old white British man arrested on suspicion of her murder has been released and is no longer part of the investigation.
Widdecombe, 78, was found dead at her home on Thursday having sustained serious injuries.
Reporter Janine Jansen is outside the late politician's house, as the investigation into her death continues.