You just need to use your first name.
If you are sharing, and you feel the need to mention it, everyone I've run across calls themselves a "double winner" rather than "also an alcoholic" - it makes it a little more comfortable for the newer members. But there is no requirement to mention that, either - it's up to you.
Also, personal addiction recovery stories aren't the material for topics in Al-Anon. Mentioning things in passing ("The situation threatened my own sobriety.") are okay, as long as the main topic is how other people's addictions affect you.