Jurisdiction, particularly over a very young child, will sometimes come down to who filed first and where. It does sound like filings have been initiated in FL and that is where ultimately jurisdiction may end up. Have you consulted with local counsel? If the FL attorney you consulted with spoke of filing for custody, then FL is where jurisdiction maybe.
So you are aware, it is definitely not absconding when paternity has not been established and until that time it is, Mom is considered (FL law) to be the sole custodian. She was at will to take the child and leave you and there was nothing illegal about that.
That being said, FL recently passed legislation that is geared more towards shared custody. You will not likely be awarded shared (50/50) physical custody because you don't reside in the same state/area, but FL is geared toward shared legal custody and you would be given that. You would of course have visitation. Because FL is now geared toward shared custody, it is not likely you would be given primary custody. The courts do not often change status quo when everything is ok and it is a young child with Mom already and unless she is a threat to the child, the courts are not likely to intervene and change that.
The new law does require a parenting plan to be submitted to the courts. Think about what you want and write it down. Being as it is a young child and you are not in the area, you need to consider things like support (FL has guidelines, but it generally comes out to about 20% net income), visitation, transportation, transportation costs, holidays, visitation schedule when child starts daycare/school, ... it would actually serve you well to reside closer so you can see the child more.
So you are aware, it is definitely not absconding when paternity has not been established and until that time it is, Mom is considered (FL law) to be the sole custodian. She was at will to take the child and leave you and there was nothing illegal about that.
That being said, FL recently passed legislation that is geared more towards shared custody. You will not likely be awarded shared (50/50) physical custody because you don't reside in the same state/area, but FL is geared toward shared legal custody and you would be given that. You would of course have visitation. Because FL is now geared toward shared custody, it is not likely you would be given primary custody. The courts do not often change status quo when everything is ok and it is a young child with Mom already and unless she is a threat to the child, the courts are not likely to intervene and change that.
The new law does require a parenting plan to be submitted to the courts. Think about what you want and write it down. Being as it is a young child and you are not in the area, you need to consider things like support (FL has guidelines, but it generally comes out to about 20% net income), visitation, transportation, transportation costs, holidays, visitation schedule when child starts daycare/school, ... it would actually serve you well to reside closer so you can see the child more.