It was Villa’s first league win in three months as they put defeats in Sherwood's first two games behind them.
"It was the best feeling in the world,” he said. “When I left home my missus said she had done the euro millions, £54 million.
"But I said I would rather have three points all day. Seriously I mean it, it means more to me.
"We controlled the play and should have been 1-0 up. We always thought the chance would come but I did not think it would be that late.
"And I think my missus won as well!
GETTY
Tim Sherwood celebrating after the victory
When I left home my missus said she had done the euro millions, £54 million. But I said I would rather have three points all day
Tim Sherwood
"It was massive, huge for us. I'm learning about the group and we have players who are not suited to a relegation battle.
"We have to change it and play as if we're not in a relegation battle.
"We deserved to win the game but it was nice to get a slice of luck.
"I was just checking my heart at the end to see if I was still alive but we’re alive and kicking. If we go down we'll go down fighting.”
Villa, who initially took the lead in the first half through Gabby Agbonlahor before being pegged back by Saido Berahino, now host Albion again on Saturday in the FA Cup.
"There is no chance of resting players for Saturday,” said Sherwood. “We're aiming for Europe next.
"The lads are a little bit down that they did not score four.
"There is no feeling like that final whistle when you have won and I've missed that.”
Alan Hutton was fortunate not to be sent off towards the end for a challenge that caught Berahino’s groin before the Scot helped set up the winner with Matt Lowton brought down.
"I've seen the Hutton challenge,” said West Brom boss Tony Pulis. “There is a lot of criticism thrown at referees and I won't go there.
"I don't want to criticise the referee or anyone else.
"I thought they were the better team in the first half. The best thing to happen to us in the first half was half-time.”
Ben Foster later tweeted a message apologising for his part in the defeat.
"Sorry to let the lads and fans down tonight, I love you all" he said.
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