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There is a song called "Silence is Golden," by the band Garbage. It appears on their 2001 album, Beautiful Garbage.
Although they may occasionally collaborate with other musicians, most of the songs (including "Silence is Golden") are written by the band themselves: Shirley Manson, Butch Vig, Steve Marker, and Duke Erikson.
Answer
There was a UK Band in the 1960s called 'The Tremeloes' who had a hit with a song called 'Silence is Golden' but no idea who wrote it.
"Silence is Golden" is a song co-written by Bob Gaudio of the American rock band, The Four Seasons, with Bob Crewe