Born on Staten Island, New York, Ridgway attended public schools and learned the trade of carpentry.
In 1811, he moved to Cayuga County, New York where he began manufacturing plows.
He settled in Columbus, Ohio, in 1822 and established an iron foundry.
Ridgway served as a member of the Ohio State House of Representatives from 1828 to 1832.
He was elected as a Whig to the Twenty-fifth, Twenty-sixth, and Twenty-seventh Congresses serving from March 4, 1837 to March 3, 1843.
He was an unsuccessful candidate for reelection to the Twenty-eighth Congress in 1842.
Ridgway also served on the Ohio State Board of Equalization and as a director of the Clinton Bank for twenty years.
Additionally, he was a member of the Columbus City Council.
He died on February 1, 1861 in Columbus, Ohio and was interred in Green Lawn Cemetery.