The Saints are struggling to get going this season, and came into the game on a run of five successive league defeats.
Matt Lench put the Canaries in front after 13 minutes but a header from Tom Ward pulled the visitors back on level terms just four minutes later. Hitchin restored their lead three minutes before half-time when Will Wright ran half the length of the pitch before firing home.
The second period saw Robbie Burns bag a brace on the hour-mark and 74 minutes to complete a comfortable win for the Canaries.
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