The Two Bridges Hotel is a hotel in Dartmoor located at Two Bridges near Princetown, the main town in the middle of Dartmoor and where the prison is located. In the novel The Sittaford Mystery, Inspector Narracott asks a subordinate to do some checks on hotels near Princetown. The subordinate came back to report that the inspector's hunch was right, but it was not "The Duchy at Princetown. It was the hotel at Two Bridges." The context of the following conversation suggests that they had been tracing the whereabouts of some "young man", likely to be Brian Pearson. Brian Pearson had helped Freemantle Freddy escape from prison. It is likely that Brian needed to stay nearby and the Two Bridges would have been suitable.
The Two Bridges is an actual hotel that is still operating today, providing rooms and cream teas to visitors of Dartmoor.