I do not find any records for the Jefferson Texas Hospital.
[The Confederacy, A Guide to the Archives of the Government of the Confederate States of America, National Archives and Records Administration, Washington, DC]
I have never researched these types of records and do not know to what detail they include, such as symptoms, treatment, etc. you
This site may be helpful in your search:
http://www.archives.gov/publications/prologue/1994/spring/confederate-medical-personnel.html