The early goal seemed to give United extra impetus and they took control of the game with Antonio Valencia a regular threat down the right, with Rooney stinging the palms of Given from nine yards out.
Paul Scholes, returning to the Red Devils' lineup, almost scored a spectacular volley straight from a Young corner but his sizzling effort flew just wide.
A second goal for the hosts looked on the cards and they almost got it when Valencia fired in a low cross that Welbeck diverted towards goal. Given was however equal to the effort as he reacted quickly to tip over.
Welbeck did find a way past Given two minutes before the interval by getting on the end of Patrice Evra's low cross and prodding home.
A win for United would see them restore their five-point advantage over Manchester City atop the Premier League table.