Six qualified for the jump-off by posting fault-free rounds within the 1 minute 51 seconds allowed.
Tway qualified for the 2008 U.S. Open at Torrey Pines but he failed to make the cut by four strokes after posting rounds of 75 and 78.
The 33-year-old Thomas, the seven-time winner of the New Jersey State amateur, posted rounds of 73, 71 and 74 for a total of 218.
Three of those posted clear rounds over the initial course of 17 fences within the 95 seconds allowed.
Predictably, the distractions were too much then, and Maddera posted rounds of 86 and 82.
Johnson posted rounds of 76, 74, 76 and 74 to finish in a six-way tie for 45th at 20-over-par 300.
Smith posted rounds of 73-74-73-75 for a total of 295, a new tournament record and the first sub-300 winning score.
He posted rounds of 78-78-74-77, becoming the first golfer in U.S. Open history to card four sub-80 rounds.
"I'm a little bit surprised," said Hall, who has posted rounds of 66 and 68.
Through two days, Graeme McDowell has posted consecutive rounds of 69, but they've been anything but routine.