I note that there are various online trees stating his parents were a Thomas and Elizabeth - however, when he married his second wife Ann Hull in 1856 his father was not a Thomas!
Thomas Gooding Howard, widower, Wheelwright, son of John Howard, Wheelwright
Ann Hull, spinster, dau. of James Hull, Labourer
married 28/9/1856 St. George Hanover Square, Middlesex (London).
In 1851 at Minster in Sheppey, Kent
John Howard 70 Wheelwright born Marks Tey, Essex
Mary Howard wife 53 born Sheerness, Kent
George Howard 24 ditto
William Howard 17 ditto
John Howard 14 ditto
Looks like Mary must have been a second wife as only born ca.1798.
Unfortunately, I cannot find online baptisms for Minster, Isle of Sheppey/Sheerness for the relevant time frame so don't know who John Howard's first wife was.
Annette
Don't believe all you see on online trees and always checkout the facts. Since I saw that Thomas remarried in 1856 I checked the marriage certificate (found on FindMyPast) which clearly shows his father as John, also a Wheelwright who was living in Minster in Sheppey in 1841 and 1851 (died 1853).