Wolves boss Mick McCarthy saluted a "terrific performance" from his team at Villa Park as they took their points tally to four from successive away games with Burnley and Villa to edge further away from the bottom three.
Wolves came from behind to take the lead at Villa Park on Saturday, through Jody Craddock and a James Milner own goal - but a second Carew strike, both after marginal offside decisions, earned the home side a point.
McCarthy said: "When Villa's first goal went in, I suppose everyone expected them to go on and win by four or five goals. It was nice to kick against the trend and it was a terrific performance and a fabulous point.
"The last two results have been good but we have given ourselves encouragement with our actual performances in the last six or seven games.
"We actually matched Chelsea and Manchester United most of the time and got nothing. It is just nice to have results to back performances up.
"I thought their first goal was offside but for the second one we defended badly. Let's be honest, Villa had their chances but we also could have won it."
Wolves midfielder David Jones admitted the 2-2 final score was frustrating for the Premier League strugglers.
He said: "I think we played well and deserved three points but it wasn't to be - but before the game you would look at a point to be a good result here.
"We knew they would come on strong in the second half, they have been really good this season and we knew coming here would be difficult - but to get in such a good position and concede not the best of goals, we're coming off disappointed."
On his part in both the Wolves goals, Jones added: "The first was a free-kick, we work on those in training and I was glad that it came off. The second was more of a patient build-up, a good move, I thought I was going to put it in but all that matters was it went in."