To find the correct fuse, you should:
1. Consult your owner's manual: This is the best resource. Look for the fuse box diagrams. It will list the fuses and what circuits they protect. Look for a fuse labeled "Dome," "Courtesy," "Interior Lights," or something similar.
2. Check both fuse boxes: The 2001 Corvette likely has two fuse boxes – one under the hood and one inside the passenger compartment (often under the dash).
3. Test the fuse: Even if you find the correct fuse, visually inspect it for a blown element (a broken wire inside the fuse). If it looks okay, use a multimeter to test it to confirm continuity. Replace the fuse if necessary with one of the same amperage rating.
If replacing the fuse doesn't solve the problem, the issue is likely with the wiring to the mirror itself, the mirror's switch, or the mirror's light bulb.