Eulogy Jones' Hat

The  is a piece of headwear in Fallout 3 and

Fallout 3
The hat can be found on the projector table in Eulogy's pad in Paradise Falls. The suit can be obtained by killing or reverse-pickpocketing Eulogy Jones.

Fallout: New Vegas
The hat can be obtained from Rotface, who sits against a destroyed building next to Mick & Ralph's just past Freeside's east gate. Paying for 11 tips, waiting outside the east gate in the Mojave Wasteland, then re-entering Freeside will result in Rotface equipping the hat. It can be obtained by killing or reverse-pickpocketing Rotface.