The 86th Fighter Group was composed of the 525th,526th and 527th Fighter Squadrons.Initially armed with the P-40, and later with the P-47 Thunderbolt.It was redesignated a Fighter-Bomber unit which implies close tactical support of ground operations. TAF likely means Tactical Air Force and it is most probable that this is the 12th TAF. The 86th was stationed in Grosseto, Italy as of 18SEP44 and in Pisa (home of the Leaning Tower)as of 1NOV44.
"Pistol Packin'Mama" was a popular song of the day, made famous by Bing Crosby and the Andrews Sisters.It is one of the most popular names for aircraft nose art.
Alexander Louis 0 566024 AC.The group of numbers is his service number which accompanied the man throughout his time in the military.This person was an officer.AC means Air Corps.It is difficult to say which is his first and which in his last name....
It is also difficult to say with any certainty what ship you are looking at with the hull number 659.We'd need to see the ship to get an idea of the Class of vessel it is in order to narrow the identity down.(DD-659 a Destroyer named DASHIELL saw service exclusively in the Pacific)
"Recce" is a corruption of the word reconnaissance.Pronounced "Wreck-ee" by the Brits and "Ree-See" by Yanks.