The fire took place at a farm on Friddon Lane in Middleton-by-Youlgrave at 11pm on Sunday, August 6.
Firefighters from five stations in Derbyshire attended the blaze, spending more than five hours battling the flames.
A 24-year-old woman from Hartington has since been arrested and released pending further investigation.
Police shut Buxton road after diggers report bomb discovery
14 photos show parched fields, dwindling rivers and barren reservoirs across Derbyshire – as drought is officially declared
Buxton mum and daughter donate hair to Little Princess Trust cancer charity
Shocking CCTV footage shows moment man smashes glass into another man's face in Buxton pub
Buxton dad targets Three Peaks in 24 hours to help fellow cancer patients
Officers from the Derbyshire Police’s rural crime team are still appealing for anyone with information to come forward.
They are particularly interested in hearing from anyone who was at the CEX festival that was taking place nearby at the time.
Anyone with information is asked to contact Derbyshire Police on 101 quoting reference 17000336296.