CR2 TAXIING FOR DEP AT MEI CROSSED RWY WITHOUT CLRNC.

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LEAVING GATE AT MEI; GND CTL INSTRUCTED US TO TAXI TO RWY 1. I LOOKED AT MY CHART AND SAID 'LOOKS LIKE TXWY C TO TXWY A TO ME' TO MY FO. ON MY COMMERCIAL CHART; TXWY B APPEARS TO STOP AT TXWY C AND BECOME A VEHICLE ROADWAY OR SOMETHING; THEN PICK BACK UP AS A TXWY AT TXWY A. AS WE APCHED RWY 4/22; WE COULD SEE BOTH ENDS OF THE RWY AND CLRED L AND R. I THOUGHT ABOUT IT FOR A SECOND BEFORE XING THE RWY AND THOUGHT WELL; WE'VE BEEN CLRED ALL THE WAY TO RWY 1 AND NOBODY COULD BE MAKING AN APCH TO THIS RWY AND WE CAN SEE BOTH ENDS; SO I CROSSED WITHOUT VERIFYING. AFTER XING; A CTLR CAME ON AND SAID; 'ACR X YOU JUST MADE AN UNAUTH RWY XING. YOU WERE INSTRUCTED TO TAXI TO RWY 1; TURN L ON TXWY A; RECROSS RWY 22 AND TAXI TO RWY 1.' WE FOLLOWED THE INSTRUCTIONS AND AFTER RECROSSING RWY 22; I INQUIRED IF THERE HAD BEEN ANY CONFLICT OR IF A RPT WAS GOING TO BE MADE. HE SAID THERE WAS NO CONFLICT AND HE WASN'T GOING TO RPT; BUT IN THE FUTURE; TO ASK FOR PROGRESSIVE TAXI IF I NEEDED IT. WE SHOULD HAVE BEEN MUCH MORE CAREFUL ABOUT MAKING SURE I KNEW MY PROPER TAXI RTE BEFORE XING THE RWY; ESPECIALLY WITH ALL THE RWY INCURSION AWARENESS GOING ON IN THE INDUSTRY RIGHT NOW.