"In our last league game at home, we beat Burnley 3-0, so we are trying to get some good results to go with the performances. This, though, is a smashing result for us. Swansea were on a great run.
"I am delighted because it's been a tough January and now that's out of the way, we can play football."
Watford's first league win this year moves them to fourth from bottom, a point above Norwich.
Smith added: "We have to work as a team and keep that unity and hopefully work our way up the league table."
"We have had a good spirit all season. We have a group of young lads who never let their heads drop."