Quartermaster Mayes gives the Courier this unmarked quest after discussing the supply problems Camp Forlorn Hope is having. In order for NCR Command to better allocate supplies to their forces (including those at Forlorn Hope), they need to know what troops are dead. The easiest way to prove this for field troops is to bring back the NCR dogtag from each body. Therefore, Mayes is offering a reward for bringing those dogtags to him.
Mayes will give the Courier 2 bottle caps for every dogtag they turn in.
After turning in fifteen dogtags, the player character will receive a special reward from Mayes, consisting of 100 bottle caps and 6 beers, but one has the option to refuse the reward and earn good Karma.
The payout per NCR dogtag is small. Aurelius of Phoenix will offer more, 10 bottle caps per dogtag or after a Barter check of 35, Decanus Severus will offer ammunition and other supplies. Neither will accept irradiated NCR dogtags. The Courier will get Legion fame for turning them in to Aurelius of Phoenix or Decanus Severus.
There is bonus applied to the third part of Restoring Hope. Every 5 dogtags turned in adds a morale bonus of 1 for a maximum of three. This bonus is applied to the Nelson attacking forces.