Joshua is an Old Testament patriarch and not a New Testament saint.
Pope St. Martin is a saint but not a patron saint.
Therese of Lisieux was canonized on May 17, 1925, by Pope Pius XI.
St. Jude was not declared a saint by a pope. The canonization process did not exist at the time. he was declared a saint by the early Church because of his martyrdom.
Saint Patrick was never a pope.
He would have been appointed to the position by the pope. In the case of Saint Nicholas, that was probably Pope Saint Sylvester I.
Boniface is a saint but not a patron saint.
Pope Saint Sixtus I - April 6 Pope Saint Sixtus II - August 7 Pope Saint Sixtus III - March 28
Pope St. Nicholas I is not a patron saint.
Yes, Saint Peter was the pope at the time.
Pope Saint Leo the Great is not a patron saint.
He was canonized on June 8, 1862, by Pope Pius IX.
Pope Alexander I was the pope from c. 107 to his death c. 115. He is believed to have died a martyr which would have had him declared a saint by popular acclamation as he made the ultimate sacrifice for God.