The name Wren is a boy's name of English origin. Wren and discussed in our forums with posts like "Drop you least favourite (girls with middles)".
From the experts:
Wren may not be as time-honored a bird name choice as Robin or even Lark, but it's more fashionable. Given to just a handful of children a decade ago, in 2012 there were 250 girls in the U.S. named Wren and 29 boys. That number puts Wren on the verge of breaking through to the Top 1000 for girls, which may well tip it even further into the girls' column.