In the absence of top-scorer Grzegorz Raziak, the pair scored a goal in each half to condemn a lacklustre Wolves side to a fourth away defeat in a row.
It was only Southampton's second win in the last six league games and their fall down table was characterised by the lowest league crowd ever at St Mary's of 18,979.
The first period was marginally more exciting than what was to follow after half-time as the burley Jones created a chance for Jermaine Wright on 12 minutes but his goalbound effort was blocked by Rob Edwards.
Wolves, struggling to find goals from anywhere on the pitch, were continually frustrated in their efforts going forward.
Seyi Olofinjana's sharp one-two with Carl Cort almost gave the Nigerian an opening but Chris Baird did well to step across and block his shot on 18 minutes.
Minutes later Cort's run through the heart of the Saints midfield looked promising until their lack of confidence in front of goal ended up with Olofinjana blasting harmlessly over the bar from distance.
A flat half an hour was temporarily livened up by Rohan Ricketts' attempt at a spectacular free-kick but his chip and volley sailed harmlessly over.
However, seemingly out of nothing, a goal was summoned via the quick feet of Wright-Phillips.
The former Manchester City trainee seemed to have run out of ideas when he mis-controlled a pass from Inigo Idiakez.
But with one touch he brought the ball down, dropped his shoulder to evade Gary Breen and then with the calmness of his dad Ian, slotted past Matt Murray for his first league goal since the opening day of the season.
The second half largely petered out into a series of mis-hit crosses and passes by the away side as boss Mick McCarthy's frustration on the touchline grew.
It was to get worse though as a hopeful punt up the field saw Jones wrestle with David Wheater and despite appearing to use his hands to battle past the Wolves defender, the Trinidad & Tobago international dispatched a powerful finish past Murray to kill the game off on 70 minutes.