Besides the baby's birth certificate, my Certificate of Naturalization, old and current USA passports from both my husband and me, my social security card, our joint income tax returns for the past 5 years, they also wanted our marriage license. The officer even went as far as asking me the reason I went to the States 13 years ago, what my major was in college, and the reason we got married.
I don't know if it's just me or what, because obviously the couple at the next window was asked for the minimal supporting documents, just the baby's birthday certificate, the mom's naturalization cert, and the parents' passports.
I never mind the rain from the sky, as long as I have the sun in your eyes~