The 1795 law has the same provisions about the father
Any free white person could recieve citizenship providing they had renounced their allegiance to their previous state/sovereignty by name, lived in the United States for five years at least, behave as a man of good moral character, and renounced any title they possessed in the previous states. Once the applicant had been approved and recorded by the court clerk, all related children would receive citizenship whether they had been born in or outside the U.S. providing their father had at some point, resided in the U.S., and never been legally convicted of joining the army of Great Britain.
Birth Abroad to One Citizen and One Alien Parent in Wedlock
A child born abroad to one U.S. citizen parent and one alien parent acquires U.S. citizenship at birth under Section 301(g) of the INA provided the U.S. citizen parent was physically present in the United States or one of its outlying possessions for the time period required by the law applicable at the time of the child’s birth. (For birth on or after November 14, 1986, a period of five years physical presence, two after the age of fourteen, is required. For birth between December 24, 1952 and November 13, 1986, a period of ten years, five after the age of fourteen, is required for physical presence in the United States or one of its outlying possessions to transmit U.S. citizenship to the child.) The U.S. citizen parent must be the genetic or the gestational parent and the legal parent of the child under local law at the time and place of the child’s birth to transmit U.S. citizenship.