A convicted murderer who was out on bond in a pending gun case is accused of brutally beating his ex-girlfriend to death and fatally shooting her current boyfriend at her South Chicago home last weekend. Steven Hawthorne, 56, chased Tamera Washington, 26, into the street before shooting her in the arm and later picking up a "large rock" and dropping it on her head repeatedly, Cook County prosecutors said in court Tuesday. The attack started just before 2 a.m. Sunday when Hawthorne, 56, allegedly let himself into Washington's home with a key.