The young striker found the back of the net after 44 minutes, following an excellent move involving Luke Maxwell and Ronan Hale, which culminated in Storer turning his marker inside the box and smashing the ball home.
But after a failure to make their dominance pay, the hosts levelled the scores in the second-half following a contentious penalty decision.
Blues Development Squad Coach Richard Beale was delighted with his side’s overall display against the Baggies.
"We played very well, defended resolutely and really frustrated West Brom at times," said Beale
"We hit them on the counter-attack a number of times and could have extended the lead but we didn't and the referee made the decision to award them a horrific penalty and they equalised.”
Beale continued: "We're trying to make them tougher and stronger, and every game we play now is closer to Championship level and that's what we're trying to create.
"The big criticism in this country is that the Under-21 league isn't competitive enough to take players close enough to the First Team.
"But by bringing in certain players like Jack Storer, Luke Maxwell and Noe Baba we're trying to change the mould of the group to one that is uncompromising and ready for the rigours of Championship football.
"We've had a good pre-season in terms of that and they're starting to move that way."