A black box should pop up on the upper left corner of the screen indicating you've entered a Legendary Animal's territory.

Ride to the area where the Legendary Animal should appear based on the map below.

You cannot damage Legendary Animal pelts so bring strong weapons and leave your bow behind.

A Shotgun with Slug Ammo purchased from a Fence is a great hunting accessory.

Equip your most powerful weapons and ammo.Here are the full steps for how to hunt Legendary Animals in RDR2 and what to do if they don't appear - or get away. To kill a Legendary Animal in Red Dead 2 you must hunt it carefully - Legendary Animals do not just appear, you must hunt/track them to stand a chance of killing them. How to Kill Legendary Gator in Red Dead Redemption 2

So, if you haven't made it to Chapter 6 yet, this explains why the Legendary Alligator isn't spawning for you. The Legendary Bull Gator will NOT spawn or appear on your map until Chapter 6, specifically after you beat That's Murfree Country. The Legendary Alligator can be found south of Lagras in the marshy swamps north/west of Lakay in the Bayou Nwa region of Lemoyne.

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