Well fair play to the young girl for designing it and all. But other than it starting with an "F" I don't see any connection. Considering your entire crest is a giant bird, I really expected that a mascot of an avian nature would have been as wide as you cast your net.
I believe that Bray Wanderers (The Seagulls) Have "Sammy the Seagull" which is obviously connected; off the top of my head West Ham have a giant Hammer, Millwall have a lion, Hull a Tiger, Man Utd "Eric the Red Devil" et cetera et cetera et cetera
As it happens my class have contacted all the Dublin "commuter-belt" clubs (as part of a LOI drive/project) via email and Fingal got back to us (along with Bohs and Bray) and mentioned this initiative. So, again; a grudging fair play.