@David *******
1.) As for your wife and daughter, they don't really require round trip tickets as they are Thai Citizens (even if using U.S. Passports to enter Thailand)! And, if you have a marriage Thai eVisa from the Thai Consulate in L.A., then you don't need a round trip ticket either (even without a Thai Visa too).
2.) As for your daughter, the Thai Consulate in L.A. may or may not issue a Thai Passport to your daughter depending on if all the Thai Paperwork of your wife is current or not, specifically her Thai ID Card is unexpired (and your wife's Thai Passport), and more importantly your wife's Thai Household Book (ทะเบียนบ้าน). If your daughter is already in a Thai Household Book, then definitely, your daughter will be able to get not only her Thai Passport, but possibly her Thai ID Card at the Thai Consulate in L.A.. If your daughter is not yet in a Thai Household Book, then she might be able to get a Thai Passport or not, depending on what the Thai Consulate in L.A. determines....
3.) Otherwise, just have the family make entry into Thailand on Visa Exempt free stamp and then go to the District (เขต/อำเภอ) Office to get your wife's Thai paperwork sorted, then your daughter's Thai paperwork...and, even your own Thai paperwork with Thai Immigration, and afterwards the District Office (if you want to stay long term in Thailand).
4.) your daughter's Thai Birth Certificate (ใบสูติบัตร) is very important, as is her 13-digit Thai ID number on that Thai Birth Certificate!
5.) one thing to help out your daughter's Thai paperwork would be to have a Certified Copy of you + your wife's Marriage Certificate