Leswick died in the summer of 1934, shortly after Chicago won the Stanley Cup.
Leswick was called up to the Chicago Black Hawks shortly after the beginning of the 1934 season.
He played 37 games, scoring 1 goal and 7 assists and was assessed 16 penalty minutes (PIM), as Chicago won the Stanley Cup championship that spring, though Leswick did not play any playoff games Leswick died in the off-season after the 1933–34 season.
Pete played briefly with the New York Rangers and Boston Bruins and Tony spent 12 seasons in the NHL with the New York Rangers, Chicago Black Hawks, and Detroit Red Wings.
Leswick's nephew is former Major League Baseball player Lenny Dykstra.