My Kind of Town: Deputy Beagle says that he and Primm need a sheriff to keep the chain-of-command intact, so he asks the Courier to find a decent sheriff while offering suggestions to who would fit the job well.
Beagle must be rescued in order to progress to the quests mentioned above, even if Beagle dies during or after the rescue both quests can still be completed.
With a Speech check of 25, it is possible to convince Deputy Beagle to assist in clearing the Bison Steve hotel of convicts, after which he will follow the Courier around inside the hotel and help out in combat. He will stop following as soon as the Courier exits the hotel.
With a Speech check of 40, he will tell the Courier the information for They Went That-a-Way before exiting the hotel.
If Beagle has been convinced to join the Courier after passing the above Speech check, he will become a temporary companion until the Courier leaves the Bison Steve Hotel.
Similar to permanent companions, Beagle will not accept any attempts to give him Powder Ganger apparel, even by pickpocketing. Doing so will result in him dropping the item to the ground. This effect is limited only to Powder Ganger apparel; he will accept apparel from any other faction, including Caesar's Legion and the NCR.
Any items transferred into his inventory while he is a temporary companion will become his upon leaving the Bison Steve Hotel, making the only options to retrieve them either pickpocketing or looting his corpse.
He will equip and use a weapon if one round of ammunition is provided. He will not actually expend ammo.
Beagle doesn't seem to be particularly bothered by his sister's death and only gives it a passing mention.
After the Vikki and Vance Casino opens for business, he can be found sitting on a chair for an indefinite amount of time near an old gas station near three houses, one of them being his own.
Beagle's journal is available to take directly from his inventory, without consequence, if he is given the option to take a weapon when opening a conversation.
If Beagle is damaged by the Courier while he is still tied up (e.g. by splash damage from a mine or grenade) he will turn hostile but remain inert. If this occurs by accident, leaving the Bison Steve and returning in a few days will restore his friendly state, allowing one to proceed without killing/robbing him.
It is possible to set Beagle on fire while he's still tied up, turning him hostile (but still inert), then have a normal conversation in his hostile state as he burns. If his health depletes entirely during the conversation, he will not die until the conversation ends.
"Ahh yes, my memory is much clearer now that I am free from my bondage. I was sku... er, performing recon, gathering information on some of the Powder Gangers, when some great Khans arrived with your friend in the suit. They were talking about some delivery they took from a courier, I assume that was you. They said they'd be heading through Nipton to Novac to meet a contact there."
pcps3xbox360 Beagle's voice may be different when he speaks with the Courier nearby but without initiating dialogue, he may even change to a female voice. [verified]
This may happen after the Courier leaves the Bison Steve Hotel.
pc Ask him "Can you tell me about the people who passed through town now?" then presented with a Speech (40) Check option telling him "You can tell me or you can Rot in here". After passing the check, you can ask him "Can you tell me about the people who passed through town now?" again, and you will be presented with the Speech (40) check again and again. Each time you pass you will earn roughly 36 XP, and the option will never go away as long as he is NOT released. This works even after a test reload. [verified]
pcps3xbox360 Beagle will sometimes get stuck in the ceiling of the Vikki & Vance Casino. Going out of the casino should fix this. [verified]
pcps3xbox360 Beagle may stop following the Courier and get stuck in the doorway if they travel to the second floor of the Bison Steve Hotel, as this is considered "outside" of the actual Hotel's cell. [verified]
pcxbox360 If Beagle dies after being rescued, his ragdolled corpse may appear inside the Vikki & Vance Casino entrance randomly. [verified]