It seems that i had mistakenly thought your spouse was a Thai national.. and the advice i gave you was based on that assumption.. if you are both American citizens then you cannot register your marriage in Thailand in the manner i suggested.. but i still think your Embassy should be the first place of enquiry in order to seek guidance.
The translation agency we used is in CM so unless you are in a position to make a personal visit with your documents it isn't going to be viable.. suggest you find one in Bangkok.. or you could begin the process yourself by contacting the U.S. Embassy to ask them to notarize your marriage certificate.. maybe they can recommend a translation service locally to get that translated and submitted to the MoFA.
If you were married overseas.. meaning not in Thailand.. then the first step is to get a copy of the original marriage certificate certified by the Embassy (or sometimes it's a service performed by the Consulate) of the country where your marriage took place.. for most people that's likely to be their home country.. so you may be able to do this before you leave for Thailand.. however, you could have had a vacation style wedding of course, which would need to involve a foreign Embassy in the process.. but if you are already in Thailand then things are slightly different.. first step, your overseas marriage certificate has to be authenticated by the relevant country Embassy in Bangkok before you can move on to the second step.. which is getting a copy of the original (now already Embassy certified) marriage certificate translated into Thai and getting the translated copy certified by the Ministry of Foreign Affairs (also in Bangkok) .. only then will you have the correct documents to be able to register your marriage at your local Amphur in Thailand.. which is necessary to obtain a Kor Ror 22 (another certificate) from them.. which is a document you will need to support your non-o married visa application at Immigration.. given the complexities and inconvenience involved in this process I'd say it's probably best to engage an agent who knows the ropes and can expedite this for you.. we are in CM and didn't want to waste our time and energy traveling to Bangkok in person.. so we found an agent that specialises in translation services that could do everything for us and produce the certified marriage documents.. this process took them around 2
***
weeks from start to finish and we agreed to attend the final document collection at the International Convention Center in CM to reduce the wait by a few days.. otherwise it would have been a 3-week wait.. the fee was just over 5,000 baht in total.. and they threw in a translated copy of my passport for good measure.. which wasn't needed by the Amphur to register the marriage but i guess it might come in useful later.. be aware that your Amphur may try to retain the original certified copies instead of simply taking copies of them for their records.. which is outrageous imo since you may need to use them elsewhere in the future.. and you won't want to have to repeat this exercise and incur further unnecessary expense.. i pushed back hard and told our Amphur they could only keep them if they gave me a legal undertaking to return them if i needed them.. or alternatively, agreed to pay an agent the necessary fee to produce another set for me.. and after deliberation and consultation with superiors they backed down and simply took copies which they had us certify as genuine copies!
I renewed my licences at the LTO in CM a couple of months ago.. they accepted my yellow book as proof of address without any debate.. it never crossed my mind that they wouldn't tbh.. the whole point of the yellow book system is to evidence your official address after all.. in the same way as the blue book system works for Thai nationals.
It should be noted that a 90-day non-o visa can only be extended on the basis of the original purpose.. eg. a retirement visa can only be extended for 12-months based upon retirement.. and since the OA has not been specific on the purpose of his existing non-o visa its not clear what that is.. and unless the visa type permits an application for change of purpose this could be an issue.. and he's also not clear on what type of extension he wants.. because he cannot obtain a 30-day extension on a 90-day non-o.. and the advice given previously may suggest that is possible.. because it's been assumed he's looking to get a 12-month extension.. hence care is needed!
Please bear in mind you will need an active Thai mobile phone number registered in your name attached to your bank account.. some banks are having a purge and freezing or forcing account closure if they later identify anomalies with linked phone numbers.. and if people are out of country when this occurs it becomes a nightmare to resolve.. since they must visit their branch with documentation to get the account unlocked! And if at this stage they find your initial non-o visa has expired.. without you ever converting it into a long term visa.. eg. a married visa or retirement visa extension.. they will likely insist on account closure anyway.