The hosts had led through Andre Bikey-Amougou’s 25th-minute volley, but Kenny Jackett’s side were well worth their point after a spirited second-half display was rewarded by Batth’s headed leveller.
George Tucudean glanced a sixth-minute header agonisingly wide after meeting Jordan Cousins’ sixth-minute cross as the home side started the game in bullish mood.
Former Addick Leon Clarke just failed to apply a touch to James Henry’s delivery before Tucudean drilled a low shot from outside of the box off target.
With his back to goal, Henry saw a stunning 13th-minute effort tipped over by Stephen Henderson and then Tal Ben Haim almost fired into his own net under pressure from Wolves striker Bakary Sako.
Lee Evans was not far away for the visitors with a low 25-yard drive midway through the first half but it was the hosts who broke the deadlock on 25 minutes when Bikey-Amougou volleyed past Carl Ikeme from Cousins’ corner.
It was almost 2-0 straight away as Tucudean dragged his shot agonisingly wide after being put through by Igor Vetokele.
Charlton had the woodwork to thank as George Saville was denied by the post and Evans again went close with an effort from outside of the area, but it was the Londoners who went in at the break with their noses in front.
The second half began at a much slower pace than the first period had but Henderson had to be alert to deny Sako eight minutes after the restart.
Clarke went close with an effort that went off target and then just failed to get on the end of substitute Nouha Dicko’s ball as the visitors sprung the offside trap.
Henderson came to Charlton’s rescue by tipping behind Sako’s angled drive but it was only to be a temporary reprieve as Batth rose high to head home from the resulting Henry corner.
Wolves had their tails up and almost took the lead through Kevin McDonald, whose volley from the edge of the area sailed just over the bar.
Rhoys Wiggins made a vital challenge to deny Clarke a shot at goal but the ball was then given away by Bikey-Amougou and Henry smashed an effort against the post.
Johnnie Jackson failed to hit the target after being put clear in the box by Vetokele’s flick on and Ikeme came out to gather at the feet of substitute Franck Moussa as the clock ticked down.
Vetokele latched onto Jackson’s stoppage-time pass but again Ikeme held his nerve to deny the Addicks and ensure his side went home with a share of the spoils.