Served on the Iowa Supreme Court from November 1, 1847, when he was appointed to fill the vacancy occasioned by the retirement of Justice Thomas S. Wilson, until January 9, 1855.
Born in Staffordshire, England, in 1817, he came to New York state when two years of age. He was a member of the Third and Fourth Iowa Territorial General Assemblies and was but twenty-three years of age when first elected. He was thirty when appointed to the Supreme Court. While on the court he also served as its reporter, and prepared the four G. Greene Iowa Reports.
After leaving the bench he engaged in banking, manufacturing, and railroad building at Cedar Rapids, and in these fields was largely instrumental in building that city to the importance that it enjoys today.
Justice Greene died in Cedar Rapids June 23, 1880.