The only person in the Hub who knows where this cave is located is the insane Slappy. After discussing the deathclaw with the mutant Harold, Slappy can fast travel you to the cave. Inside the cave, aside from the deathclaw itself, there is a dying mutant. He holds a mutant transmissions holodisk and a radio.
The Deathclaw's lair houses a number of eggs. Luckily for the Vault Dweller, there is only one deathclaw.