Evesham Township was formed on November 6, 1688, as Eversham (with an R in the middle of the name that was lost in subsequent years) in the Province of West Jersey before the county was formed.or the 2004-15 Session, the 8th District of the New Jersey Legislature is represented in the State Senate by Dawn Marie Addiego (R, Evesham Township) and in the General Assembly by Christopher J. Brown (R, Evesham Township) and Maria Rodriguez-Gregg (R, Evesham Township).