Hello,
I married a filipino national and currently in active duty in the military in Japan. I am trying to work on her citizenship and I need to get her a social security number. I am really lost about how to start and what I will need, or where I may download the forms from. You would think being on a base they could help, but they are unsure too. Any advice would be appreciated greatly.

The best advice is to go to the US Embassy in the country you are in. They have all the forms. Try calling or emailing them if they are far away