In a large saucepan, place the potatoes with enough cold water to cover and 1 teaspoon of the salt. Bring to a boil over high heat. Reduce the heat to medium-low and simmer until fork-tender, about 10 minutes. Drain.
In a large mixing bowl, mash the potatoes with a hand-held masher or a heavy fork. (They should still be very lumpy.) Mix in the onions, eggs, and garlic. In a small bowl, combine 1/2 cup of the mayonnaise, the mustard, lemon juice, and brown sugar, stirring to dissolve the sugar.
Season with the pepper sauce, Worcestershire, the remaining 1 teaspoon salt, and the pepper.
Serve warm or chilled.
Makes: 4