If your power is remote viewing and seeing into the past, can you not revisit Blink's past, listen to conversations or look for clues?

She just went to her apartment, her name is Jenna. Look at all the big cell companies for a customer named Jenna living in Gotham, look up those Jenna's for her address, and you can find the number in her apartment on an open phone bill.

easy. As. Pie.