Town fell behind after just seven minutes when Jay Fulton's header found the back of the net.
But Jack Taylor's wonderful long-range strike drew the teams levels, Conor Chaplin put them ahead and George Hirst converted a second-half penalty.
Swansea's Liam Cullen was sent off after receiving a second yellow card midway through the second half, but the visitors still managed to pull one back through Jamal Lowe.
McKenna said: shouldn't have been 3-2.
"There's bits of frustra"It tion in there but there's lots of good things the way that we overcome adversity and played some really good football.
"We should have been out of sight and I didn't really like how we played the last 15 minutes against the ten men. I didn't like our concentration level. I didn't like our humility.
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