No, they are different. "Caro Gesu' bambino" was written by Piero Soffici and Pier Quinto Cariaggi. "Gesù bambino" was composed by Pietro Yon in 1917.
Quinto Martini died in 1975.
Egidio Quinto died in 1722.
Felice Quinto died on 2010-01-16.
Pier Leoni died in 1128.
Quinto Albicocco died on January 31, 1995, in Mougins, Alpes-Maritimes, France of natural causes.
Pier Leone Ghezzi died in 1755.
Pier Francesco Mazzucchelli died in 1626.
Pier Conti-Manzini died in 2003.
Pier Andrea Saccardo died in 1920.
Pier Francesco Tosi died in 1732.
Pier Giacomo Pisoni died in 1991.