Listen to Come On-A My House online. Come On-A My House is an English language song and is sung by Rosemary Clooney. Come On-A My House, from the album Hit Parade Story (1951-1952-1953-1954-1955-1956-1957-1958-1960-1961-1962-1963), was released in the year 2015. The duration of the song is 2:00. Download English songs online from JioSaavn.