Grounds for termination of parental rights are described in Florida Statutes, Sec. 39.806. The circumstances you describe are a long way from abandonment.
Quote Quoting Florida Statutes, Sec. 39.01(1)
(1) "Abandoned" or "abandonment" means a situation in which the parent or legal custodian of a child or, in the absence of a parent or legal custodian, the caregiver, while being able, makes no provision for the child's support and has failed to establish or maintain a substantial and positive relationship with the child. For purposes of this subsection, "establish or maintain a substantial and positive relationship" includes, but is not limited to, frequent and regular contact with the child through frequent and regular visitation or frequent and regular communication to or with the child, and the exercise of parental rights and responsibilities. Marginal efforts and incidental or token visits or communications are not sufficient to establish or maintain a substantial and positive relationship with a child. The term does not include a surrendered newborn infant as described in s. 383.50, a "child in need of services" as defined in chapter 984, or a "family in need of services" as defined in chapter 984. The incarceration of a parent, legal custodian, or caregiver responsible for a child's welfare may support a finding of abandonment.