The game was close the entire way, as the Greyhounds led, 11-9 after one period, 25-21 at half and 33-29 going into the final quarter.
Anthony Oliphant scored 21 points and Chase Miller had 11, while Patrick Drew had 17 and Kevin Marr 11.
The Lions fell to 11-2, while the Greyhounds improved to 5-9 in Woodland Conference North Division play.
Shorewood has won two straight for the first time this season.
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