Sheriff's Duster (Fallout 3)

The sheriff's duster and sheriff's hat are pieces of clothing in Fallout 3 and Fallout: New Vegas. The duster provides bonuses of 1 to Charisma and 5 to Small Guns (5 to Guns in Fallout: New Vegas). The hat provides +1 to Perception.

In Fallout 3, the duster has a damage resistance of 5, and the hat has a DR of 1. Both cannot be repaired except by merchants.

In Fallout: New Vegas, neither article has a damage threshold, so they cannot be repaired by merchants. Repair is only possible through the Jury Rigging perk.

Duster
In Fallout 3, the duster and hat can be found on the body of Lucas Simms. They are easily obtained by letting Mister Burke kill him in The Power of Atom. The hat can also be acquired from Sonora Cruz by pickpocketing if you have the Lawbringer perk.

In Fallout: New Vegas, the outfit can be obtained from the town of Primm, inside the Sheriff's shack. However, the outfit will disappear from the shack when you complete the My Kind of Town quest. Make sure to get it before completing the quest. Other hats can be found on Freeside thugs from time to time. On close inspection the badge on the sheriff's duster from Primm still reads "Megaton" (the town over which Sheriff Lucas Simms presides in Fallout 3). This is probably an oversight.

Hat

 * On the Lonesome Drifter east of El Dorado Gas & Service.
 * Primm, inside the Sheriff's shack, at the foot of the bed next to the sheriff's duster.
 * Occasionally found on Freeside thugs in full conditions.
 * Dusty McBride in Novac wears one.

NPC reactions
If your character is wearing the sheriff's duster, some residents of Megaton will occasionally comment about it when they see you: Other NPCs treat you as de facto sheriff:
 * Jericho will say "That badge don't impress me, kid."
 * Harden Simms isn't impressed either and says: "You might wear his badge, but you're not my dad."
 * Colin Moriarty comments that "You got a lot of nerve wearing that badge in here."
 * Confessor Cromwell says "Light shine upon you, Sheriff."
 * Billy Creel asks "What can I do for you, Sheriff?"
 * Andy Stahl is annoyed but will ask "Can I help you, Sheriff?"

Bugs

 * The sheriff's duster will not be available once you complete the My Kind of Town quest. (Fallout: New Vegas)
 * The sheriff's duster can still be found occasionally, even after completing the My kind of town quest as it sits on the floor in front of the bed with the hat and a wastelander's settlers outfit adjacent to it inside the Sheriff's shack
 * On your Pip-Boy and in inventory menus, there will be no notation when you have multiple Sheriff hats and they will appear as one item regardless of their respective conditions (needs confirming on non-Xbox platforms; one of the hats may need to be in perfect condition). This is a known bug on clothing/armor items found or bought at 100% condition. The normal fix is to damage then repair the item back to 100%, however seeing as head gear that doesn’t provide DT never take damaged, there is no way to fix this issue.
 * If you are carrying a Sherrif's hat, then others that you pick up will not appear in your inventory.

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