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Broadly speaking you need to provide a document that proves your identity (an ID, a passport etc.) if you want to get married in Germany. Ask your competent Standesamt for a list of documents they need because it might vary depending on your location. Ususally the list contains said ID/passport, a certificate of birth, a registration card and (sometimes) a certificate of no impendiment. But I would recommend to explicitly ask if your ID is enough or if they need other documents.
You said that you are still in the aslum process. Do you have a "Residenzpflicht"? If so, then you are not allowed to go to the Netherlands (you can apply at BAMF for a permission to travel, but you need to provide some good reasons for that). It's probably easier for her to come over and get married to you here in Germany.
Once again: get in contact with your Standesamt to ask them which documents she needs to provide in this case.
We had a couple of similar questions here on the platform recently. Check out these links for further information:
I hope this answer was helpful to you. Feel free to ask further questions if anything remained unclear!