First thing people need to realize is that not everything is like in America, if you travel a lot, you would more likely see that what it is like in the Philippines is more like the rest of the world. Most Americans are very spoiled in their thinking and expectations. Learn to embrace and accept the differences.
As far as the CENOMAR, I think it's pretty consistent across the board for requiring a CENOMAR for a Filipino to get married. They need to prove that they are not currently married first. But the foreigner usually but not always needs an "Affidavit in lieu of legal capacity to marry" to show that they aree not currently married and are able to marry. The need for and how to get an Affidavit in lieu of legal capacity to marry has changed so that is one reason that she must go check exactly what is required.
After getting married and receiving the PSA marriage certificate, then you will order a CEMAR from PSA for both you and your wife before the interview. That will prove that you are both legally married in the Philippines, and it is required at the interview.