I don't have much to add to my previous response. The "M.E." in your latest message certainly implies "Methodist Episcopal" as the auspices. My extract from the special census of 1923 shows "Methodist Episcopal Church, South" as the auspices of the Mississippi Orphans' Home, which was located in Jackson.
The word "Church" might be what was misspelled or misread in the 1900 census as "lehusch." I have previously reported the 1978 name, Methodist Children's Home.