To the Doctor's puzzlement and consternation, Lucie Miller appears in the TARDIS; he attempts to return her to the North of England in 2006, but finds that a temporal shield prevents him from landing there. Instead, the two find themselves on the human colony world Red Rocket Rising, which has suffered an asteroid strike and the consequent impact winter. The survivors include the colony's acting president, Eileen Klint, disgraced scientist Asha Gryvern and the apparently paranoid Tom Cardwell. Klint receives a message from a Dalek fleet offering rescue to the colony's citizens, and accepts the offer, believing the Daleks to be benevolent. Lucie reveals that the Time Lords have placed her in the Doctor's care because of something she'd seen, although she doesn't know what it is. Asha, apparently the assistant to one Professor Martez, is in reality Martez himself, who had combined dead and living humans with technology salvaged from a crashed Dalek ship in an effort to ensure survival; Martez has created a new race of Daleks. When the true Daleks land, they welcome the survivors onto their ship, and demand that Klint turn the Doctor over to them. Meanwhile, Martez orders his Daleks to open fire on the Doctor.
Part 2
The Doctor tricks Martez's Daleks and escapes. Martez has summoned the Daleks for assistance with his own Dalek creations, but the true Daleks see Martez's Daleks as a threat to the purity of the Dalek race, and plan to destroy them. The Doctor allies himself temporarily with the true Daleks in order to destroy Martez's Daleks, but then works with Tom Cardwell to eliminate both Dalek groups. The Daleks reveal that they caused the asteroid strike on Red Rocket Rising, in a failed attempt to eliminate Martez's creations; they also destroyed the exodus ships carrying refugees from the disaster. Martez's Daleks, which are being birthed at a rapid rate, initially have an advantage over the true Daleks, who are weakened from another conflict. The Doctor eventually convinces Martez that a Dalek-dominated world will know only hatred, war and death. Martez, whose stolen body is breaking down, halts the birthing process; in return, his creations kill him. Eventually, the two groups of Daleks destroy each other. The humans are left to pick up the pieces, and Klint announces that a new offer of rescue has been received from the inhabitants of a planet whose name begins "Tel-". Lucie considers staying with the survivors on Red Rocket Rising, but the Doctor discovers that the Time Lords will not let him leave the planet without her. And elsewhere, a woman calling herself the Headhunter accepts a commission from one Mr. Hulbert, promising him that she will find Lucie Miller anywhere in space and time...
The real reason Lucie and the Doctor are brought together is revealed in Human Resources.
The Doctor refers to one of the Daleks as Dalek Fred, a popular fan nickname for the Dalek who shot the Tenth Doctor in "The Stolen Earth". However this story was broadcast more than a year before that story.
At the end of the play, Klint declares that help is coming once more; she names their new saviours' home planet, but only the first part of the name, "Tel-", is heard before the signal cuts off. This implies the planet is Telos, and that Red Rocket Rising will soon be invaded by Cybermen.
The Headhunter reappears in several of the following Eighth Doctor stories. She finally catches Lucie at the end of No More Lies.
The Daleks talk about putting the Doctor on trial to deceive the inhabitants of Red Rocket Rising. This may refer to the TV movie in which the Daleks, out of the norm, put the Master on trial, listening to his plea, and explains why this had happened.
Lucie meets the Daleks again in her last story, Lucie Miller / To the Death.