Timmy and Chloe's Fairy Family is a joint-family consisting of the Timmy Turner, Chloe Carmichael and the Cosma/Fairywinkle family.
Cosmo and Wanda are Fairy Godparents of Timmy Turner. They later become actual parents with Poof in Season 6, who is considered Timmy's godbrother.
Sparky joined the family as their pet fairy-dog in Season 9. However, he was is removed from the cast after 1 season with no in-universe explanation.
In Season 10, Chloe Carmichael joins the family, also having Cosmo and Wanda as godparents and Poof as her godbrother.