The sole alternative, 14.Kc3 led to a quick win also: 14...Ne2++ 15.Kb3 Nxc1+ 16.Ka3 Bc5+ 17.b4 and Black can choose between 17...Bxb4# or the more "economical" 17...axb4#.
14... Qe5#
.....and is euthanized. Not playing 3. Nf3 in the King's Gambit is just too unsound IMHO. Thanks for the game terribyte1!