St Joseph’s were 2-12 to 1-6 winners with Garvan and Josh Lacey hitting 1-1 each and Seamus Farrelly scoring 0-5.
Joseph’s led 2-6 to 0-3 at the break with Arles-Kilcruise’s goal coming from Garvan’s former Laois team-mate Chris Conway late on.
The result means that Joseph’s are now in second place on four points behind Portlaoise who have three wins for three.
Arles-Kilcruise are still awaiting their first win but are back in action this Saturday when they host O’Dempsey’s. St Joseph’s are away to Graiguecullen this Saturday.
Murphy and Adam Ryan got Port’s first-half goals but they trailed 2-5 to 2-3 at the break.
Murphy’s second goal early in the second half nudged the home side into the lead and they pushed on to record their first league win of the season.
Port make the trip to Portlaoise this Saturday for their next game.
Laois Shopping Centre ACFL Division 1A
Portarlington 3-10 Graiguecullen 2-8
St Joseph’s 2-12 Arles-Kilcruise 1-6
Laois Shopping Centre U-17 ‘B’ Football League
Rathdowney-Errill 3-4 The Harps 3-11
Laois Shopping Centre U-15 ‘B’ Football League
Ballyfin 2-8 The Harps 2-4
Feile Peil na nOg ‘B’
The Heath 6-11 Rosenallis 0-1