Ten-man Daniels set up mouthwatering Trophy tie, UCL Cup ties for Pinchbeck, Deeping and Holbeach
Liam Adams claimed the only goal of the game in the 53rd minute, but a red card for Kern Miller a few minutes later meant the Daniels were a man down for the final half an hour.
Leek struck the woodwork twice in the final stages, but Stamford held on and will host Kettering on Saturday, November 10.
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Hide AdThere are a couple of United Counties League Cup ties tonight (October 31) as Pinchbeck United host Deeping Rangers and Holbeach United entertain Melton.
Veteran goalkeeper Paul Bastock will play for Pinchbeck as an emergency stand-in for injured number one Ricky Lovelace.