As regards leaving the child.....what utter nonsense.

Thousands upon thousands of SINGLE OFWs leave their children in the care of family members for years on end.

My ex wife (at the time of her visa application) had two children, the boy in the care of her parents and the girl in the care of the father's parents.

Dependants' visas for both weren't applied for them until 5 years later.

They are both British Citizens now.