Tama was found as a egg in Episode 4. Tama means eggy.

The second season of Natsume Yuujinchou. 
As with its prequel, Zoku Natsume Yuujinchou is about Natsume Takashi, a boy who has had the ability to see youkai since he was young, and his bodyguard youkai, Madara, nicknamed Nyanko-sensei. Natsume attempts to return names written in his Book of Friends, which he inherited from his grandmother Reiko, to youkai in his village. Throughout these adventures, he meets some youkai that are friendly, some that want to steal the Book of Friends, and some that want to kill him. Natsume learns about himself and his relationship with youkai along the way. 
(Source: MAL Rewrite)

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When Reiko was Takashi's age, she bound the names of demons and spirits in her Book of Friends, enslaving them to her capricious whim. Now Takashi is the owner of the book, and the creatures will do anything to get their names back.
 
(Source: Viz Media)