Striker Burrow is Town’s seventh signing
The 6ft 1in frontman was at Lincoln City last season, scoring 10 goals in 40 games for the Imps.
He came through the youth ranks at Chesterfield and had a loan spell with Boston United in 2011 before joining Morecambe in January 2012, making more than 50 appearances.
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Hide AdBurrow joined Stevenage in May 2013, scoring two goals in 20 appearances before returning north to join Lincoln last summer.
Burrow is Town’s seventh summert signing following the arrivals of Dan Maguire, Josh MacDonald, Elliott Whitehouse, Sam Walker, Matty Brown and Andy Bishop.