What is the way I could if it did apply to me?...I'm curious
It still needs your father to be a citizen, and some other things too, mainly the grandparent having lived at least 5 years in the US (it didn’t sound like this had happened from your original description).
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A genetic, legitimated, or adopted child who regularly resides outside of the United States is eligible for naturalization if
all of the following conditions have been met:
•The child has at least one U.S. citizen parent by birth or through naturalization, (including an adoptive parent);
[3]
•The child’s U.S. citizen parent or citizen grandparent meets certain physical presence requirements in the United States or an outlying possession;
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•The child is under 18 years of age;
•The child is residing outside of the United States in the legal and physical custody of the U.S. citizen parent, or of a person who does not object to the application if the U.S. citizen parent is deceased; and
•The child is lawfully admitted, physically present, and maintaining a lawful status in the United States at the time the application is approved and the time of naturalization.
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Reliance on Physical Presence of Child’s U.S. Citizen Grandparent
If the child’s parent does not meet the physical presence requirement, the child may rely on the physical presence of the child’s U.S. citizen grandparent to meet the requirement. In such cases, the officer first must verify that the citizen grandparent, the citizen parent’s mother or father, is a U.S. citizen at the time of filing. If the grandparent has died, the grandparent must have been a U.S. citizen and met the physical presence requirements at the time of his or her death.
Like in the case of the citizen parent, the officer also must ensure that:
•The U.S. citizen grandparent has been physically present in the United States or its outlying possessions for at least five years; and
•The U.S. citizen grandparent met such physical presence for at least 2 years after he or she reached 14 years of age.
Like the citizen parent, a grandparent’s physical presence is calculated in the aggregate and includes time accrued in the United States during periods when the grandparent was not a U.S. citizen.
https://www.uscis.gov/policymanual/HTML/PolicyManual-Volume12-PartH-Chapter5.html
