Pheeble Will

 is a quest in Fallout: New Vegas.

Quick walkthrough
Bighorner rancher Walter Phebus and his wife, Ethel Phebus have traveled to New Vegas on the trail of big-name rancher/robber baron Heck Gunderson. Walter seems bent on revenge after having some of his land taken by Heck in a shady deal.They can be found at the Strip near the Las Vegas Boulevard Station.

Detailed walkthrough
Initiate conversation with Walter Phebus and find that he is in New Vegas and has trailed Heck Gunderson to the Ultra-Luxe casino. Walter tells you his troubles, and requests that you to find out why Heck is visiting the casino. You may pass a Barter check of 70 to receive 400 caps for accepting this quest. Ethel, however, will attempt to get you to persuade her husband to let the matter go. (To accomplish Ethel's purpose, you need a perception of 7 and then must pass a Speech check of 75.)(This will end the quest with an EXP reward of 375.)

After speaking to Heck, accompanied by his bodyguard in the Ultra-Luxe casino, you find that he is attempting to make a food supply deal with the White Glove Society, and that his son, Ted Gunderson, is missing (NOTE: offering to help find Ted will initiate the quest Beyond the Beef). Upon informing Walter of Heck's troubles, Walter makes you an offer to take out both Gundersons. The reward can be increased by 500 caps for Ted (with a Barter check of 80) OR 1,000 caps for Heck (with a Barter check of 90), or you may offer to just "take care" of them. There are a few ways to get rid of Heck:

Option 1:

One way to get Heck to a secluded area is to steal something from him and run to the penthouse door. He should follow you. When he gets there, go in the penthouse and run around the corner. Then let him get away from the door so he can't backtrack to escape.

Option 2:

Another (valid, but risky) option is to run into the Ultra-Luxe casino lobby, refuse to hand over your weapons, and kill everyone (though this will obviously lead to substantial drops in karma and White Glove Society reputation).

Option 3:

Completing Beyond the Beef by siding with Mortimer and framing Heck Gunderson with Ted's death will result in completing the conditions of both quests simultaneously.

Option 4:

If you have a high enough Sneak skill, you can slip a silent hold-out weapon in, go to the left side of the bar/lobby, near the wall next to a plant, hide, and kill Heck with a silent sneak attack. No karma loss for this.

Option 5:

Completing Beyond the Beef and siding against Mortimer, but then killing Ted Gunderson might be the best of all options. Then pass the Speech check of 35 with Heck Gunderson to get and 250 caps + 130 EXP from Heck Gunderson, and fame with both White Glove & The Strip. Then, crouching behind Heck Gunderson, steal from him, and the casino staff will kill him and his bodyguard for you, walk out to Walter Phebus, and you'll get up to 1,000 caps.

Bugs
If you bring Ted Gunderson to Heck Gunderson (while completing the quest Beyond the Beef) and talk to Heck Gunderson, then this quest will be failed, Walter and Ethel will disappear. Even if you kill Heck immediately.

If you choose to drug the wine and sneak Ted Gunderson out to the Member's Only Section, attacking him will cause the White Glove Society Members to wake up from their sedation and attack Ted. Upon his death, they will lay back down on the floor in their original positions and become sedated once again.