How can I apply for a Non-O visa for myself and my daughter for moving to Thailand?

I think your daughter will need a passport

I would advise moving here until your daughter is off to college. You're looking at 10-20k usd a year for private school. I am not even mention about the many disadvantages that she will face growing up here. Thailand is no place for a family unless you sre the Uber rich.

I sent you a dm

I believe that children born overseas need to included on the family book in Thailand before they can apply for a Thai passport. This was not the case previously, and can only be done in Thailand.

How can the daughter be born in the USA and have a Thai birth certificate? Sorry couldn’t understand that part

Would advise checking here to make sure you have everything needed for your daughter. I think you should be able to get passport at Thai embassy before leaving.

Lots of cases i have read where children need go back get info from embassy where they were born. Just double check they very helpful there.

Yes, you should apply for the 90 day non-O visa based on marriage to a Thai from the Thai embassy before you travel. This IS the marriage visa. You will not apply for another marriage visa in Thailand, you will simply apply for a 1-year extension (not a visa, not a non-O) based on marriage to a Thai.

You said you were married in Thailand, so if your marriage is already registered in Thailand then you'll be able to get the paperwork from any Amphur office. But if your marriage was not registered in Thailand, you will need to get all the paperwork made official while you're still in the US, including getting it stamped by the Thai embassy in the US.

It would be MUCH easier if your daughter gets her passport from the Thai embassy before she goes to Thailand. Otherwise she will be entering Thailand as a foreigner and will have to deal with some complications related to that, and won't be able to get rid of the requirements until she leaves Thailand by air and returns using her Thai passport. There's no reason to get her a non-O visa, let her enter visa exempt if you can't get the passport before you travel.