@Bob *******
yeah, you didn't have an O-A anything from inside the country :/
You can only get an O-A visa from the thai consulate in your country before you come here. It requires a police background check, and a medical certificate.
You can apply for a 90 day Non-O visa at the thai immigration office when you have 15 days or more left on your current stamp (there is no rule about being here 60 days). You apply, it goes under consideration for 14 days and you go back to get the Non-O visa and the 90 day stamp inked into your passport. THEN you wait until you have 45 days or less left on that stamp and go back to the immigration office and apply for a yearly extension.