The 27-year-old spent a couple of seasons at Ilkeston Town and a successful loan spell with the Daniels last season.
Brown-Hill had been with Ilkeston since June 2020 after signing from Stamford.
He had re-joined the Daniels in January 2018 having originally been with the club in the 2016/17 season where he scored 6 goals in 24 games.
He has also played for Oadby Town, Corby Town, AFC Rushden & Diamonds and Barwell as well as representing England at under-18 and under-19 level. Brother of Dominic.
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