My ancestors were members of company "K" 46th Ms Inf.; and was not aware of the this work, until i read the query.

Here is a link to all five chapters:

A Memoir of the Vicksburg Siege by Lt. Simeon R. Martin, Co. I, 46th Mississippi Infantry
http://mississippiconfederates.wordpress.com/2011/06/23/a-memoir-of-the-vicksburg-siege-by-lt-simeon-r-martin-co-i-46th-mississippi-infantry/

The Memoir of Simeon R. Martin, Chapter 2
http://mississippiconfederates.wordpress.com/2011/06/24/the-memoir-of-simeon-r-robinson-chapter-2/

The Memoir of Simeon R. Martin, Chapter 3
http://mississippiconfederates.wordpress.com/2011/07/05/the-memoir-of-simeon-r-martin-chapter-3/

The Memoir of Simeon R. Martin, Chapter 4
http://mississippiconfederates.wordpress.com/2011/07/06/the-memoir-of-simeon-r-martin-chapter-4/

The Memoir of Simeon R. Martin, Chapter 5
http://mississippiconfederates.wordpress.com/2011/07/06/the-memoir-of-simeon-r-martin-chapter-5/