Barnsley fell 11 runs short chasing 183 at Tickhill.
Jash Gyanani took five wickets then Sean Whitehead made 53.
The Shaw Laners are ninth, two places and 32 points clear of the bottom two.
They have won three and lost six of their nine league games so far.
Sixth-placed Cawthorne fell six runs short chasing 237 at leaders Whitley Hall. Harry Allinson made 62.
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