No Duke of Wellington has been royalty. You mean either peers or nobility. I've most often seen the following form: Wellington, Arthur Wellesley, 1st Duke of Which, by the way, is how Wikipedia sorts...
The first Duke of Wellington instructed his shoemaker, Hoby of St. James' Street, London, to modify the 18th century Hessian boot. The resulting new boot designed in soft calfskin leather had the...
Oh, now that is a very long list indeed. Wellington fought in India before returning to Europe & leading the force in the Iberian peninsula (Spain & Portugal) following the death of Sir John...