B190 FLC DETERMINE THAT THEY HAVE TAXIED ONTO ACTIVE RWY AND TAKE ACTION TO TAXI BACK TO CORRECT TXWY.

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AFTER DEICING AT PAD 1 ON RWY 18/36 WHICH IS CLOSED; WE RECEIVED A NONSTANDARD TAXI CLRNC TO RWY 23L FOR DEP. STANDARD WOULD BE RWY 23R FOR DEP. I READ BACK THE CLRNC AND THE CAPT BEGAN TO TAXI THE ACFT. AS WE APCHED AN INTXN; THE CAPT SEEMED UNSURE AS TO THE RTE; SO I ASKED IF HE WANTED GND TO CLARIFY. HE DID; SO GND GAVE US THE INSTRUCTIONS. WE CONTINUED DOWN. AT THIS POINT; THE TAXI CHKLIST AND PRETKOF CREW BRIEFING WAS COMPLETED. THE CAPT BRIEFED ME AND I HAD NO QUESTIONS AS THIS WAS HIS LEG. WE CONTINUED TO TAXI OUT AND FOUND THAT WE EXCEEDED OUR HOLDOVER TIME. THE CAPT ADVISED ME TO UNBUCKLE AND CHK THE WING FOR THE PRETKOF CONTAMINATION CHK. I TOOK MY HEADSET OFF AND UNBUCKLED AS THE CAPT BEGAN TO SLOW DOWN; WHEN WE ADVISED ME TO STOP. HE THEN MADE A 180 DEG TURN AND TAXIED BACK ONTO THE TXWY. HE ADVISED ME THAT HE HAD TAXIED ONTO AN ACTIVE RWY. THE CLRNC 'HOLD SHORT OF RWY 23L AT TXWY W.' WE DID NOT HOLD SHORT OF THIS INTXN. FACTORS INFLUENCING THIS ARE: LOW VISIBILITY; TXWY SIGNS OBSCURED BY SNOW; MY UNFAMILIARITY WITH HOPKINS (CLEVELAND) ARPT. I READ THE CLRNC BACK AND ASSUMED MY CAPT KNEW WHERE THAT WAS. I DID NOT KNOW WHERE WE WERE GOING BECAUSE IT WAS THE FIRST TIME I HAD HEARD NONSTANDARD TAXI PROCS EVEN THOUGH I HAD THE ARPT DIAGRAM OUT. I WAS NO HELP FOR THE CAPT.