Bide-a-Wee

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You may be looking for the short story about this house.

Bide-a-Wee was a bed and breakfast in Keelmouth run by Mrs Hutchings.

At one point in 1933, an alien, retired from defeating evil, spent some time as a guest at Bide-a-Wee. He enjoyed it so much he used temporal technology to keep the guest house and its residents stuck in 1933.

When the First Doctor arrived at Bide-a-Wee, it was 1999 in the real world. The Doctor and the alien restored the guest house to its original time. (PROSE: Bide-a-Wee)