The electronic flasher unit on a 1999 Lincoln Town Car is typically located
under the dashboard, near the steering column. However, it's *not* a single easily identifiable component like a bulb. The turn signal function is controlled by a module within the body control module (BCM) or perhaps a related integrated circuit within a larger assembly. There isn't a separate "flasher" like older cars had.
To find the problem if your turn signals aren't working, you'll need a wiring diagram and likely a multimeter to diagnose the issue within the BCM or related circuitry. Simply looking under the dash won't reveal a readily replaceable flasher unit. You'll likely need a mechanic or advanced troubleshooting skills to fix this if it's not a simple fuse issue.