The issue is one of standing.
You need "standing" to bring the action. "Standing" is simply the right to bring any particular cause of action.
From Florida's wrongful death statutes:
768.18 Definitions.—As used in ss. 768.16-768.26:
(1) “Survivors” means the decedent’s spouse, children, parents, and, when partly or wholly dependent on the decedent for support or services, any blood relatives and adoptive brothers and sisters. It includes the child born out of wedlock of a mother, but not the child born out of wedlock of the father unless the father has recognized a responsibility for the child’s support.
That is where the language about support is coming from.
Of course, nothing says an attorney cannot bring the action and argue that someone has standing.....as long as it is based in sound legal argument. That action would be subject to a motion to dismiss based on the argument that the Plaintiffs lacked standing.
Other than that, I am out of my element in discussion of civil actions but those would be basics.
Oh,
It would appear, since the defendant was aquitted, that as the other parent, she would have standing....not just the father.
It would have to be alleged that someone else had caused the child's death, of course. Now I'm not saying that is going to happen. (Don't want to start a commotion.) I am only pointing out the list of potential plaintiffs in a wronful death action brought on behalf of Caylee.
Since my area of expertise is only crimal law, if I am mistaken I would welcome correction. I see nothing in the statute that precludes that, though.
Sharing My opinion,
MH
Hope this helps