Edward King (Sr.), wife Susan, and children Edward and Charles were living in NYC in 1880. He may be the Edward H. King who enlisted in the military in Syracuse in Oct. 1861 and served as a musician in the 75th NY Infantry. In 1891 and 1907, a couple of Civil War pension apps. were filed for a musician Edward King; if it's Eddie's father, they could provide a wealth of info.
From the New York Herald, Fri.17 Jan. 1908. pg. 9,. col. 3:
"Edward King, who for ten years had been the drummer in the orchestra at Wallack's Theatre, died suddenly of heart disease yesterday at his home, No. 2,153 Fifth avenue. It was not known at Wallack's that Mr. King was dead until after he was missed in his accustomed place at last night's performance. Mr. King for years was a drummer in the orchestras of the Harrigan & Hart theatres. Ten years ago he went to Wallack's Theatre. Mr. King was sixty years old and a civil war veteran."