Holy Lance
The name of the soldier who pierced Christ's side with a "lonchē" is not given in the Gospel of John, but in the oldest known references to the legend, the apocryphal Gospel of Nicodemus appended to late manuscripts of the 4th century "Acts of Pilate", the soldier is identified as a centurion and called Longinus (making the spear's Latin name "Lancea Longini").
Sword of Saint Peter
The sword is mentioned for the first time in the published in 1609 "Vitae Episcoporum Posnaniensium" of Jan Długosz as being the original Roman sword (Gladius) used by Saint Peter in the Gospels, or a direct copy made for Pope Stephen VII. However, at that time Stephen was already dead, and the current pope was John XIII.