At the time of Independence each State would have had its own Constitution. As to eligibility to be US President, the office did not exist till the US Constitution was adopted, so the US President NBC requirement wasn’t needed.
Your tag implies that the circumstances of Wasington and Obama re NBC were the same, which is very misleading.
there was a Presidency under the Articles of Confederation, but I have never seen any qualifications for the post.
At birth, GW was the son of two American subjects of the crown. At his birth, Obama was the son (he says) of an American citizen and a British Subject. Neither man was, of course, a "Natural Born Citizen." In writing themselves and their sons an exemption, the founders at least had the courtesy to mention it.