How would I go about having a function return a single value from searching
several different columns and matching the proper "name" with its "county"?

Here is what the spreadsheet looks like:
C D | H I
J K
1 County System | System County1 County2 County3
2 Mobile ? | System 1 Mobile Montco
Harris
3 Bucks ? | System 2 Ford George
Newman
4 George System2 | System 3 Boman Bucks Farrel
5 York ? | System 4 Rosel Duke
York

D2 should = System 1
D3 should = System 3
D5 should = System 4

Each System contains unique counties. What function (s) would I need to use
to match the correct county to its respective system?

As of now I am trying to use in cell "D2":
=INDEX(H1:K5,MATCH(C2,C2:C1246,0),MATCH(H1,I2:K2,0 )) <-completely off?
obviously not working...
Any help would be greatly appreciated...