After ordination, Vonesh served at Sacred Heart Church in Chicago until 1946 when he was assigned to
Holy Name Cathedral. He studied
canon law at the
Gregorian University in
Rome from 1947 to 1949.[1] Vonesh became the notary and judge for the Archdiocesan Tribunal upon his return to Chicago. He was assigned as the procurator at St. Mary of the Lake Seminary in 1956. Bishop
Romeo Blanchette of the Joliet diocese requested of Archbishop
John Cody of Chicago a priest experienced in canon law to assist him at the Joliet chancery. Vonesh was sent to the Joliet diocese in 1967 and named
vicar general.
Auxiliary Bishop of Joliet
On January 5, 1968
Pope Paul VI appointed Vonesh as the
Titular Bishop of Vanariona and Auxiliary Bishop of Joliet in Illinois.[3] He was consecrated by John Cardinal Cody of Chicago on April 3, 1968. The principal co-consecrators were Bishops Romeo Blanchette of Joliet and
Cletus F. O'Donnell of
Madison.[2] He continued to serve as an auxiliary bishop until his resignation was accepted by
Pope John Paul II on May 7, 1991. During those years he served as pastor of St. Patrick`s Parish in
Joliet and vicar for Hispanics and vicar for permanent deacons. He later moved to Holy Cross rectory in Joliet and then became temporary administrator of St. Walter`s Parish in
Roselle from 1981–1982. He became chaplain for the
Franciscan Sisters of the Sacred Heart in
Mokena in June 1988. Vonesh died at the age of 75 on August 16, 1991. His funeral was held in the
Cathedral of St. Raymond Nonnatus on August 21, 1991.[1]