Which of these sentences has the correct use of a pronoun and its antecedent?

1. Retrieving the turtle, they wanted to take it home and show their friends.
2. A baby bird had fallen out of their nests, and Jose put them back.
3. Sari and Jada found theirselves a turtle on the path.
4. Looking at the turtle, their parents said they were not allowed to bring them home.