The North West Cambridgeshire MP Shailesh Vara says the fight to allow people in the village of Stilton to name the cheese they produce after the village will continue.
He joined a meeting between villagers and the food minister, and described the discussions as very useful. There are now plans for future talks.
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Four-month-old Archie Joe Darby was snatched from his mother's arms by the family dog and savaged to death, an inquest has heard.
The 23-year-old based at RAF Honington in Suffolk was last seen on CCTV in the early hours of 24 September.
Lisa Duffy was runner-up in the earlier contest which was won by Diane James who resigned just 18 days after being elected.