Danny Summers had a pair of doubles for HJC (3-9).
HJC got on the scoreboard first with a run in the bottom of the first. With one out, Mike Memminger walked and stole second. One out later, Summers doubled down the left-field line to drive in Memminger.
Finger Lakes scored three runs in the third to take the lead for good at 3-1.
The Hawks trimmed the lead to 3-2 with a run in the fourth. Summers led off with a double to left and came around to score on a pair of groundouts.
The Lakers got a run back in the sixth on a throwing error before Brian Updegraff scored on a double-play grounder for the Hawks' final run.
"We needed a key base hit at several different times in each ballgame and we didn't get it," HJC coach Darryl Powell said. "We left too many runners on base. Our pitchers did real well. Our pitchers threw consistent and kept us in both ballgames. Defensively, we played well."
In the second game, starter Jason Ross got the win for the Lakers - allowing two runs in five innings - and Welker recorded another save.
Marc Albowicz had three hits and Travis Barnes added two for the Hawks.
Finger Lakes took a 3-0 lead in the third on a throwing error and a two-run single and stretched the advantage to 4-0 on a safety squeeze in the fourth.
The Hawks got a run in the fourth on a sacrifice fly by Memminger and a run in the fifth on a sacrifice fly by Jimmy Escalante.
"I thought that our pitchers did a good job of throwing strikes," Lowden said. "They did a good job of moving the ball around in the strike zone."