Answer:
1. Confederate Memorial at Arlington National Cemetery
2. In addition to
Moses Ezekiel, three other Confederate soldiers are buried at the base of the monument. They are
Lt. Harry C. Marmaduke who served in the Confederate Navy,
Capt. John M. Hickey of the Second Missouri Infantry and
Brig. Gen. Marcus J. Wright who commanded brigades at Shiloh and Chickamauga.
Source:
http://www.arlingtoncemetery.mil/Explore/Monuments-and-Memorials/Confederate-Memorial
bonus: Albert Sydney Johnston
Edit - The main question asked who was buried at the base of the monument, but did not specify that it was asking for four names. In the linked article, Moses Ezekiel's name is the first one mentioned as being buried at the base of the monument, while the names of the other three do not appear until the last paragraph.
Players may be excused for thinking that when they found Moses Ezekiel's name, they had found the correct answer, so I will give credit to those who answered Moses Ezekiel without naming the other three.
To the best of my knowledge, during the Civil War, the rank of Full General existed only in the Confederate Army. MajGenl.Meade's post #8 gives an excellent summary of Albert Sidney Johnston's rank history.
Hoosier