Given Nathan-Turner's edict, there was no question of Saward being credited as the story's scriptwriter. Furthermore, Levine's working relationship with the
Doctor Who production office was maintained with the understanding that he would not receive onscreen acknowledgment. As a result, Saward turned to writer and teacher Paula Woolsey, an ex-girlfriend with whom he was still on good terms. Woolsey had also performed some research for Saward's first
Doctor Who serial,
The Visitation. Officially, Woolsey would be the scriptwriter of the story resulting from Levine and Saward's work, which was now called “The Cold War”.
The true extent of Woolsey's input into the scripts is unclear. Some sources suggest that Saward wrote them in their entirety, and Woolsey's only role was to serve as a figurehead to mislead Nathan-Turner. Other sources indicate that Woolsey did write draft scripts, although these were then considerably revised by Saward, at least in part because of Woolsey's lack of experience in television. Saward himself has suggested that even the storyline was largely Woolsey's creation, and he simply worked with her to incorporate the Cybermen, the Cryons and Lytton; Levine has denied this assertion, however.