In an entertaining first-half things started off brightly with two goals for St Patrick's in the opening 10 minutes.
Glenmore who were playing their home tie at the 'Stadium of Light' caused a few anxious moments for Liam Buckley and his team as twice Trevor Wood was called on to prevent goal bound efforts.
The first effort by Warren Gregg was neatly tipped over by Wood, but the second was something special as Wood flew at full stretch to push a certain goal by Dave Kelly wide of the post.
Molloy's goals showed why he is top scorer in the National League. Fortuitously he got the ball after a clash between G. Kelly and his defender. With his back to goal he turned past his marker and finished into an empty net.
His second capped a great move by St Patrick's. With some fine play down the right flank, the ball was crossed to Molloy who looked up and placed the ball into the top corner of the net with Kelly having no choice.
In a second-half which was nothing compared to the first had little excitement for the crowd. With St Patrick's in command of the game the were under little pressure from Glenmore.
St Patrick's added to their tally after 80 minutes. A deep corner by Molloy to the back post found Gormley who headed home his sixth goal of the season. Almost immediately St Patrick's went on the attack with some Molloy's trickery.
With the defenders closing him down he passed to Gormley who was free on the left. Gormley went for goal but his powerful shot was deflected wide.
St Patrick's now continue on to the second round, but Glenmore can hold their heads high after showing a promising performance against the league champions.