Don't know if this helps or not. It appears at one time he was Elder in charge of the school system.
The Deseret Weekly, Volume 47 p 368
http://books.google.com/books?id=6GPUAAAAMAAJ&pg=PA368&lpg=PA368&dq=Priesthood+Richard+Stephen+Horne+to+what+office+in+the&source=bl&ots=xJ-QijrfEi&sig=Ov0q6aSh7IdDl8pVrhubszqZBpQ&hl=en&sa=X&ei=Xlb9UOuwOvOy0AGEi4HIBg&sqi=2&ved=0CC0Q6AEwAA#v=snippet&q=%20Horne%20&f=false
" ELDER RICHARD S HORNE represented the Sunday schools of the State fifty seven school some of them branch schools re established in the State nearly all being properly graded. The assistance of the Bishopric of each ward is very necessary to the success of the scbools and such is given very freely . The worker in tbe primary grades are very proficient and those in the higher departments are gaining in efficiency. The organization generally is in good condition."