Buxton Shippy was born in 1955 in Montego Bay, Jamaica. He was raised by his grandmother Hepseba Richards and his aunt Rosalyn Hughes after his grandmother died in 1962.
He attended Albert Town Secondary School and Montego Bay Technical Institute. After graduating from technical school he went to Kingston, Jamaica, where he worked as a Draftsman for seven years. While he was living in Kingston he attended the Jamaica School of Drama now Edna Manley College of the Performing Arts for three years. It was during this time that the group Poets in Unity was formed. Buxton joined the group and performed solo and collectively on radio and in other settings.
In 1984 he emigrated to the United States to study architecture. He earned a Bachelor of Architecture degree from Boston Architectural College.
He worked as an Architectural Designer for Deck House Incorporated for fourteen years and for Hezekiah Pratt and Associates for five years. He is now Principal at Buxton Lloyd Shippy + Associates.
Buxton is married to Phyllis Ann Wilson and has three children: Buxton II, Phylicia and Phebe.