MD80 CROSSES RWY WITHOUT CLRNC AT CLE.

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TIME: XA56. ATC FREQ: 120.900. ATC FACILITY: CLE TWR. LOCATION: CLE. THE ORIGINAL CLRNC AFTER PUSHBACK WAS: TAXI TO RWY 23R VIA TXWY U; ONTO RWY 28; HOLD SHORT OF RWY 23L. ONE PLANE WAS AHEAD OF US HOLDING SHORT OF RWY 23L. HE MOVED UP TO RWY 23R. AS WE WERE BEGINNING TO MOVE UP TO THE HOLD LINE FOR RWY 23L; WE RECEIVED A CLRNC THAT I UNDERSTOOD AS MOVE UP TO THE HOLD LINE OF RWY 23R. AS WE WERE XING RWY 23L; TWR SAID HOLD SHORT OF RWY 23R AND ASKED IF WE HAD NOT SEEN THE HOLD LINE FOR RWY 23L IMPLYING THAT WE WERE SUPPOSED TO HAVE HELD SHORT OF RWY 23L. THE AREA OF THE ARPT IS VERY CONFUSING AS IT HAS SEVERAL RUNWAYS MEETING TOGETHER. HAD THE TWR NEVER GIVEN US ADDITIONAL TAXI INSTRUCTIONS WE WOULD HAVE DONE WHAT HE APPARENTLY WANTED US TO DO IN THE FIRST PLACE. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR STATED THAT BOTH FLC MEMBERS WERE POSITIVE THEY RECEIVED CLRNC TO MOVE UP TO RWY 23R. THEY CROSSED RWY 23L AND THEN THE TWR MADE THE COMMENT; 'DID THEY KNOW WHERE THE HOLD SHORT LINE FOR RWY 23L WAS?' FROM THIS COMMENT THE FLC SURMISES THEY WERE NOT CLRED TO CROSS RWY 23L. THEY ARE POSITIVE THEY RECEIVED THE CLRNC TO MOVE UP FOR TKOF OR THEY WOULD NOT HAVE MOVED THE ACFT. THEY WERE ALREADY HOLDING SHORT OF HOLD LINE FOR RWY 23L AND KNEW WHERE IT WAS LOCATED. IF THEY HAD NOT HEARD THE TWR SAY FOR THEM TO MOVE UP; THEY WOULD NEVER HAVE MOVED THE ACFT AND EVERYTHING WOULD HAVE BEEN SATISFACTORY. THIS WHOLE SIT IS BASED ON THE COMS UNDERSTANDING OF KEEPING THE ACFT MOVING CLOSER TO THE TKOF RWY. FLC HAD NO DOUBT AS TO THE LOCATION OF THE HOLD SHORT LINE. THEY WERE POSITIVE THEY HAD CLRNC TO MOVE FORWARD.