Blues go down in season opener
The teenager put Blues in front in the third minute, with Cory Galvin's corner falling to Fowler whose shot looked to take a deflection before going in.
Swansea drew level six minutes later, Kyle Copp saw his low cross pushed into the path of Stephen Fallon by 'keeper Jacob Marsden, leaving him with an open goal.
Marsden was called into action soon after, making a good save to his right to deny Copp's headed effort.
The visitors forced Marsden to make two more quality saves, with one being tipped round the post and the other over the bar.
Blues went behind just after the 20 minute mark, Luke Llewellyn swinging in a free-kick from the right that found its way straight into the goal at the back post.
Town skipper Joe Robinson came close to levelling for Blues. A cross from the right found him in the box but his right-footed effort went just wide.
Cemal Ramadan was the next to have an opportunity at goal after cutting inside from the left, but he scuffed his shot over the bar.
Swansea widened the gap with 15 minutes remaining, a corner escaped sub 'keeper Sam McDermid, who couldn’t get enough on his punch and the ball went into the net.
Ted Bishop gave Town a lifeline with 10 minutes left to play, a good ball found the striker in the box and he finished well.