No, Joseph Smith, Jr. did not have a middle name. His full name is simply Joseph Smith, Jr.
Yes, if the name is exactly precisely the same. If one of you is John James Joseph Smith and the other is John James Frederic Smith, then Junior and Senior does not apply.
Patton's middle name was Smith. Though known as a junior, he was actually the third George S. Patton, after his father and grandfather. The grandfather of the WWII general, the original George Smith Patton, was killed in 1864 while serving as colonel of the 22nd Virginia Infantry Regiment in the Confederate Army.
Upon his birth, Joseph Smith was named Joseph Smith. Throughout his life he was called Joseph Smith, Jr. because his father's name is also Joseph Smith. His son was named Joseph Smith, III. His enemies often referred to him as Joe Smith. This was intended to be very disrespectful, and it was often offensive.
Alfred Hitchcock's middle name was Joseph.
His full name is Matthew Robert Smith.
Rudyard was his middle name. He was born Joseph Rudyard Kipling.
His middle name is Adam, Joseph Adam Jonas but his nick name is Danger or Joe (short for joseph!)
his middle name is joseph
His middle name is Walter.
His middle name is Joseph
His middle name is Joseph.
Joseph Priestley's full name is Joseph Priestley, he did not have a middle name.