Cajoling a Cudgel

 is an unmarked quest in Fallout: New Vegas.

Walkthrough
Locate Luke's find, a key which unlocks the Sealed Sewers. You can find it on the bodies of two dead prospectors, 'Sweet' Jill (in the East Central Sewers) or 'Blind' Luke (in the Central Sewers).

Once obtained, you can enter the Sealed Sewers and after fighting several feral ghouls check the prospector's corpse, on which you will find a unique weapon, The Humble Cudgel.