I was in the same situation several years back. The Thai Embassy in Germany will not do anything for you. You must travel here via a Visa and go to the Amphur where she was born and apply for a Thai passport and Thai ID card there. If you have any questions or need "HELP" please PM me. I am in Ubon now just arrived on the 27th of Dec. where my wife was born. Your very "Lucky" that she has all the required paperwork to apply. Bring that all with you.