Manual Transmission problems of the 2001 Saturn SC2

While driving at 30mph consumer took foot off accelerator and vehicle kept going. She then applied brakes; but, it did not slow vehicle. Applied transmission, and tachometer went to 3000 rpms. She then released transmission, and vehicle kept speed of 35 mph. She applied brakes and transmission, vehicle slowed and engine raced. But, stopped at light. She let go of transmission and brakes, and by that time she had shifted up to 3rd gear without applying accelerator, vehicle reached 35 mph. After 1/2 to 3/4 mile engine stopped racing, and consumer was able to stop vehicle. Dealer found nothing wrong with vehicle. Miles at incident 19800.