Sam Spade (Humphrey Bogart)’s Timeline and Summary

Spade takes the case from Brigid, who calls herself Ms. Wonderly.
He finds out his partner, Miles Archer, has been killed.
Visiting Brigid, he discovers her true identity.
Later, Joel Cairo calls on Spade, and Spade learns that everyone is after a mysterious bird-shaped artifact.
Brigid is being pursued by Gutman, a.k.a. "the fat man," so Sam goes to his hotel room to find out information.
Everyone gives Spade the runaround for a while, before Gutman finally tells him the whole story of the Maltese Falcon.
One night, Brigid goes missing and Spade tries to find her, but fails.
When he returns to his office, Captain Jacoby, who has been shot, stumbles into the room and gives Spade the Falcon.
He makes a bargain with Gutman, Cairo, and Gutman's lackey, Wilmer, for Brigid to give them the Falcon in exchange for a large sum of money.
But the Falcon is fake. Gutman and his men leave to continue pursuing the Falcon.
Spade calls the police and turns them in.
And because he's deduced that Brigid actually killed his partner, he turns her in to the cops too.