Although Wood is credited with 23 first-class appearances by CricketArchive, there are only 13 which can definitely be attributed to him.
[4] The first time a John Wood is mentioned in the sources is when one plays for Caterham against Hambledon in 1769.
In the same season, a player called Wood played for the Duke of Dorset's XI against Wrotham in the minor match that featured John Minshull's century.
Both John Woods are found in 1773 scorecards and are usually differentiated in Scores & Biographies by the Surrey one being called Thomas.
Wood of Surrey had a very good season in 1773 and was one of the leading wicket takers that year.