The Oilmen ended a three-game losing streak on Sunday.
The Oilmen fell to .500 on the season.
Both teams had late rallies in a back-and-forth game.
The Oilmen drew 10 walks and issued only one in Tuesday's victory.
Cook created a winning recipe on Firday in Hammond.
TJ Marik earned his first win as Oilmen manager on Thursday
Southland used a four-run sixth to take the season opener.