Insert about three inches of the bared wires through the loop at the end of the tape, then bend the wires back on themselves and wrap the entire splice neatly with electrician's tape.
Bend the bared wires to form a hook that will fit through the hole entering the wall cavity beneath the existing box.
Make sure that the loops at the ends of bared wires travel clockwise around the terminal screws, so that tightening them draws the wires securely beneath their heads.
And the fire she had started with bared wires and a scrap of cloth hadn't done what she'd hoped.
Next use long-nose pliers to bend the entire length of bared wire in a right angle to the left.
Connect the remaining pair of bared wires.