Hilary Kole, 36, is charging that John Valenti, 63 — furious since she left him in May
BY Barbara Ross NEW YORK DAILY NEWS A SULTRY songbird who has trilled at the Rainbow Room is now squawking in Manhattan Supreme Court over sour notes from her former manager/boyfriend, the owner of the iconic jazz club Birdland. Hilary Kole, 36, is charging that John Valenti, 63 — furious …