Bibbit, with high school senior Lauren Smith in the saddle, used a driving stretch run to win the featured $9,000 Middleburg Hunt Cup, a 3 1/4-mile timber steeplechase race, at Glenwood Park today.

The 9-year-old chestnut gelding went to the front in a six-horse field at the second of 19 fences and led by six lengths until the 17th fence, when Carlo Friend, with James Lawrence II up, took the lead.

Smith spurred Bibbit over the next two fences and turned on the speed at the top of the 100-yard stretch to finish four lengths ahead of Carlo Friend in 6:35. Tigre's Houdini with Billy Meister was third, another three lengths back.

"I was afraid he was too tired and we weren't going to make it," said Smith, 17, of New Paris, Pa. "But he put out more than I thought he could." It was Smith's first riding victory under National Steeplechase and Hunt Association Rules.

Charles Fleischmann, riding Paul Kramer's Cookin' N Lookin', fell at the 12th fence and was taken to Loudoun Memorial Hospital for lower back X-rays.

The best of 1984, National Rider of the Year Jeff Teeter and Virginia Timber Horse of the Year Uncle Edwin, edged New Zealand-bred Young Rodney with Bruce Wagner up to win the $8,000 Riggs National Bank Bowl, a two-mile hurdle event, by less than a neck.

Paddy's Punch, a 9-year-old dark bay gelding trained and ridden by Peter Holloway, dropped dead of an apparent heart attack after finishing second to Deliveryman in the $4,000 Michelob Cup timber steeplechase.

Hard ground and warm temperatures prompted many owners to scratch horses during the eight-card program, which drew an estimated 5,000 spectators.