If you were married in her local municipality, one local copy will be given to you, one for local municipality and they will send the other copy to NSO. But sometimes, it takes weeks or months for them to send to NSO and they wait for more certificates then send it as it cost cheaper for them.

If you want rush or need your authenticated copy asap, you can ask request endorsement from your local municipality. They will give you a letter of endorsement and you can forward to Director's office in Manila. At same date, you can have your NSO authenticated Marriage Cert.
I did it before and it was quick.