No one but the IRS, your employers/ banks, and credit-monitoring agencies have any right to know your social security number or see your card.

However, it's extremely helpful to identity thieves.

It's of little use under TSA rules anyway, because it lacks your birthdate, gender, picture, or an expiration date (all of which are "required" for usable ID). SS cards are also so easy to forge that older ones said "Not to be Used for Identification" right on the card!

Keep your SS card in a secure place: don't carry it or show it casually, particularly to TSA! I wouldn't carry birth certificate or marriage license originals either: losing those will cause problems for the rest of your life, or at least until the worst of the Patriot Act idiocy is corrected.

Do you have a passport? That is sufficient, and doesn't disclose your home address to people who might be interested to know you won't be home. Occasionally I fly domestically without my driver's license or passport, but carry other ID with some of the information they want. Usually it gets referred to a supervisor, but I have flown without being asked invasive public record questions. YMMV—if your departure airport has a bad rep, allow extra time.

Good luck, Jenn, and have a great anniversary!