RWY CHANGE ASSIGNMENT MADE WHILE RPTR'S ACFT WAS ON FINAL APCH.

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45 NM SE OF IND AT 4000 FT; SDF APCH HANDED OFF TO ZID. AFTER INITIAL CONTACT; I QUESTIONED CTLR WHICH APCH TO EXPECT; RWY 23L OR RWY 23R. HE VERIFIED RWY 23R SINCE I WAS INBOUND TO THE FBO ADJACENT THE RWY 23R. AFTER A COUPLE OF FREQ CHANGES WHICH EACH INCLUDED VERIFICATION OF RWY 23R; I WAS SWITCHED OVER TO FINAL APCH CTL (AT THIS TIME I WAS E AND N OF IND) WHO ISSUED APCH CLRNC (MAINTAIN ALT TILL ESTABLISHED; FLY HDG 240 DEGS TILL ESTABLISHED; KEEP SPD UP TO 150 KIAS UNTIL MARKER; CLRED ILS RWY 23R APCH). I READ THIS BACK AND THE CTLR ACKNOWLEDGED IT WAS CORRECT AND ADVISED ME TO SWITCH TO TWR ON 120.9. I CONTACTED TWR ABOUT 10 NM FROM THE THRESHOLD OF RWY 23R ESTABLISHED ON THE LOC. HE ASKED ME TO VERIFY I WAS ON RWY 23L. I ADVISED HIM I WAS ESTABLISHED ON RWY 23R (110.9 LOC) AS ADVISED BY APCH CTL. HE SAID STAND BY WHILE HE CHKED IT OUT. HE CAME BACK ON AND ASKED ME TO SWITCH TO RWY 23L BECAUSE HE HAD FASTER TFC TO FOLLOW (B-737) ON RWY 23R. I SAID OK; SWITCHED TO RWY 23L; ADVISED TWR I WAS ESTABLISHED; AND ASKED WHAT SPD HE NEEDED IF ANY PARTICULAR. I THEN LANDED WITHOUT FURTHER CONFUSION. ON ROLLOUT; TWR THANKED ME FOR MY HELP AND GAVE ME GND FREQ AND TURNOFF INSTRUCTIONS. OBVIOUSLY THERE WAS SOME CONFUSION AND MISUNDERSTANDING REGARDING THE APCH CLRNC BTWN MYSELF; APCH CTL AND/OR TWR. PERHAPS MORE CLARITY WOULD HAVE BEEN IN ORDER TO PREVENT THE MISUNDERSTANDINGS THAT OBVIOUSLY EXISTED BTWN AT LEAST 2 OF US. I COULD HAVE MISINTERPRETED THE INSTRUCTIONS BUT I BELIEVE I EXECUTED THE APCH AS I READ IT BACK. FORTUNATELY IN THIS CASE; EVERYTHING WORKED OUT WITHOUT INCIDENT.