There is a lot of confusion about CENOMARs, Advisory on Marriages, PSA Marriage Certificates and ROM's (Report of Marriage). ALL applicants must have either a CENOMAR OR Advisory on Marriages. They order a CENOMAR from PSA and depending on whether PSA has them recorded as married or not they will either receive a CENOMAR OR an Advisory on Marriages. You can't make a choice other than by going through the long process of making sure PSA has the marriage recorded. You get whatever PSA gives you. Whatever PSA gives you is what the embassy wants to see.
The embassy may further confuse things by asking specifically for an Advisory on Marriages without mentioning that a CENOMAR is also acceptable. If they ask for an "Advisory on Marriages" but all you have is a CENOMAR, it is up to the applicant to somehow magically know that it means the same thing and to hand over the CENOMAR.
Report of Marriage (ROM) is also not a requirement. Filipinos often refer to a ROM as a "PSA Marriage Certificate" since in the Philippines it serves the same purpose. As far as the embassy is concerned it IS NOT a PSA Marriage Certificate. It is a Report of Marriage. To further confuse that, the embassy has lots of instructions requiring a PSA Marriage Certificate, referring to the certificate that is issued for couples that marry in the Philippines. Those instructions do not apply to couples married overseas but since Filipinos often call a ROM, a PSA Marriage Certificate, they frequently misinterpret those instructions to mean that a ROM is required.
If at all possible, it is very advantageous to change the name in the passport BEFORE the interview. She could literally show up the day of her interview with new passport in hand and the old canceled passport, show them to the security guard and they would straighten it all out at the pre interview document check. If she waits, her visa, green card, and social security card will all be in her maiden name. Social Security will not change her name until she changes her green card. Almost no state would change state id until Social Security or USCIS changes it first. It costs $415 and can take over a year to change the name on a green card once it's been issued. If you already filed a ROM 6 months ago surely it must be processed by now. Are you requesting it from PSA or talking to the consulate.? They always tell you 6 months but 3 to 4 months is more typical. 2 weeks for a new passport is more or less realistic if you pay the expedite fee. Maybe add an extra week for holidays.
You can reschedule once or twice. There is some kind of poorly defined limit to how many times you can reschedule without involving the embassy. If you aren't ready to move for a few months anyway it's probably better to just hold off scheduling for a while until everything else is in order.