Stewart and Shea Charles struck the Saints goals as they won 2-1 against the Premier League leaders.
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"It's an incredible evening and the celebration is absolutely crazy right now!" laughed Stewart in the aftermath.
"It's a great evening for the club. We knew we could hurt them. We were dangerous on counterattack.
"We will enjoy tonight. Tomorrow we go back to work. It's not every day you reach an FA Cup semifinal. We have many difficult league matches until then."
Matchwinner Charles also stated: "I got told to come on and try and get hold of the game, try and keep the ball a bit.
"We did OK, but to score was just special. I thought 'just try and place it in the corner'."