Funeral services will be held Tuesday in East Lake;Ohio;for Elizabeth Pezek;89;of Mentor;Ohio; formerly of Monessen;who died Saturday;Dec.13;1997;in Mentor following a lengthy illness.   She was born May 8;1908;in Hungary;a daughter of the late George and Mary Oslowski Urick.  Prior to moving to Ohio;she resided in Smithton and Monessen.  She was a charter member;past president and organizer of the Ladies Auxiliary Fraternal Order of the Eagles 2399 and a social member of the Croatian and Hungarian clubs;all of Monessen.  Survivors include two daughters;Mrs.Robert (Katherine Goldie ) Coffman of Moraga;Calif.;and Mrs.David (Shirley) Pecjak of Mento;Ohio;seven grandchildren;eight great-grandchildren;and two brothers;Peter Urick of Smithton and Nick Urick of Berlin Heights;Ohio;and three sisters;Mrs.Edward (Ann) Bousquet of New Jersey;Margaret Sarosi and Irene Morrocco of Scottdale.  In addition to her parents;she was preceded in death by her husband;Charles Pezek Sr. in 1971;one son;Charles Pezek Jr.;and two sisters;Helen Urick and Mary Toth;two brothers;George and John Urick.