You are lucky that you have a protective parents, you are just 16, and your being a mother at that age does not necessarily say that you are of legal age and able to support yourself and your child. The same with the 19-Year-Old father. Just follow your parents and finish your study. Kumbaga eh "May gatas ka pa sa labi". This is covered by Law under Executive Order No. 209 of The Family Code of the Philippines.
Title IX: Parental Authority
Chapter 1. General Provisions
Art. 209. Pursuant to the natural right and duty of parents over the person and property of their unemancipated children, parental authority and responsibility shall include the caring for and rearing them for civic consciousness and efficiency and the development of their moral, mental and physical character and well-being. (n)
Art. 210. Parental authority and responsibility may not be renounced or transferred except in the cases authorized by law. (313a)
Art. 211. The father and the mother shall jointly exercise parental authority over the persons of their common children. In case of disagreement, the father's decision shall prevail, unless there is a judicial order to the contrary.
Children shall always observe respect and reverence towards their parents and are obliged to obey them as long as the children are under parental authority. (311a)