Cawthorne beat visitors Cleethorpes by five wickets in the ECB Yorkshire Premier South.
They remain third, two points behind second-placed Cleethorpes and 20 behind leaders Sheffield Collegiate.
Cleethorpes were bowled out for 218 as Kabir Kohli took four wickets and Naqeebullah three.
Cawthorne were 54 for four but won with 10.3 overs left.
Joseph Hayes scored 50 and Kade Fletcher whacked five sixes in his 73 not out.
