Silva and Vincent are the first Generals to ever win Manager of the Year and MVP.
Joliet won all four games in the MCL Playoffs when faced with elimination.
Jacob Small's walkoff single scored Brandon Matias, who scored twice and drove in two runs in Saturday's win.
Joliet now has to win back-to-back games against the Oilmen in order to secure the title.
The Generals will make their first ever MCL Championship appearance.