“You stated that the word ‘natural’ gave no further meaning, so according to your argument, ‘natural born subjects’, automatically became ‘natural born Citizens’. Do I have that correct?”
Yes.
“Words should be interpreted to give them some effect.”
Yes, and so should legal phrases that were commonly known and used.
For example,
In February, 1785, the Massachusetts legislature passed AN ACT FOR NATURALIZING NICHOLAS ROUSSELET AND GEORGE SMITH. in which it was declared that Nicholas Rousselet and George Smith shall be deemed, adjudged, and taken to be citizens of this Commonwealth, and entitled to all the liberties, rights and privileges of natural born citizens.
In July, 1785, the Massachusetts legislature passed AN ACT FOR NATURALIZING MICHAEL WALSH. in which it was declared that Michael Walsh shall be deemed, adjudged, and taken to be a citizen of this Commonwealth, and entitled to all the liberties, rights and privileges of a natural born citizen.
In July, 1786, the Massachusetts legislature passed AN ACT FOR NATURALIZING JONATHAN CURSON AND WILLIAM OLIVER in which it was declared that Jonathan Curson and William Oliver shall be deemed adjudged and taken to be free Citizens of this Commonwealth, and entitled to all the liberties, privileges and immunities of natural born citizens.”
In March, 1787, the Massachusetts legislature passed AN ACT FOR NATURALIZING WILLIAM MARTIN AND OTHERS. in which it was declared that William Martin and Others,shall be deemed, adjudged and taken to be free Citizens of this Commonwealth, and entitled to all the liberties, privileges and immunities of natural born subjects.
In March, 1787, the Massachusetts legislature passed AN ACT FOR NATURALIZING EDWARD WYER AND OTHERS THEREIN NAMED. in which it was declared that William Martin and Others,shall be deemed, adjudged and taken, to be free Citizens of this Commonwealth, and entitled to all the liberties, privileges and immunities of natural born subjects.
In October, 1787, the Massachusetts legislature passed AN ACT FOR NATURALIZING BARTHOLOMY DE GREGOIRE, AND MARIA THERESA, HIS WIFE, AND THEIR CHILDREN. in which it was declared that Bartholomy de Gregoire, and Maria Theresa, his wife, their children,shall be deemed, adjudged and taken to be free Citizens of this Commonwealth, and entitled to all the liberties, rights and privileges of natural born citizens.
In November, 1787, the Massachusetts legislature passed AN ACT FOR NATURALIZING ALEXANDER MOORE, AND OTHERS, HEREIN NAMED. in which it was declared that Alexander Moore and others,shall be deemed, adjudged and taken to be free citizens of this Commonwealth, & entitled to all the privileges, liberties, and immunities of natural born subjects.
On February 6, 1788, the Massachusetts legislature ratified the US Constitution.
In June, 1788, the Massachusetts legislature passed, AN ACT FOR NATURALIZING WILLIAM MENZIES, AND OTHERS, THEREIN NAMED. in which it was declared that William Menzies and others shall be deemed, adjudged and taken to be free citizens of this Commonwealth, and intitled to all the liberties, privileges & immunities of natural born subjects.
In November, 1788, the Massachusetts legislature passed, AN ACT FOR NATURALIZING ELISHA BOURN, AND OTHERS, THEREIN NAMED. in which it was declared that Elisha Bourn and others shall be deemed, adjudged and taken to be free Citizens of this Commonwealth, & entitled to all the liberties, privileges & immunities of natural born Citizens.
In February, 1789, the Massachusetts legislature passed, AN ACT FOR NATURALIZING JAMES HUYMAN, AND OTHERS, THEREIN NAMED. in which it was declared that James Huyman and others shall be deemed, adjudged and taken to be free Citizens of this Commonwealth, and entitled to all the Liberties, Privileges and Immunities of natural born subjects.
In June, 1789, the Massachusetts legislature passed, AN ACT FOR NATURALIZING NATHANIEL SKINNER, AND OTHERS, THEREIN NAMED. in which it was declared that Nathaniel Skinner and others shall be deemed, adjudged and taken to be free citizens of this Commonwealth, and entitled to all the liberties, privileges and immunities of natural born subjects.
In March, 1790, the Massachusetts legislature passed AN ACT FOR NATURALIZING JOHN JARVIS, AND OTHERS, THEREIN NAMED in which it was declared that John Jarvis and others, shall be deemed adjudged and taken to be free citizens of this Commonwealth, and entitled to all the liberties, privileges and immunities of natural born subjects.
Also in March, 1791, the Massachusetts legislature passedAN ACT FOR NATURALIZING JOHN WHITE & OTHERS” in which it was declared that John White and others, shall be deemed adjudged and taken, to be free citizens of this Commonwealth, and intitled to all the liberties, privileges, and immunities of natural born subjects.
Please notice that one of the ratifying legislatures used the terms interchangeably. The terms are not unique to the US Constitution.