Oops, it doesn't look like 'babies day' is a national day..

Other days

youth

Youth Day
offer

Offer Day
martini

Martini Day
brow

Brow Day
bow tie

Bow Tie Day
bubble bath

Bubble Bath Day
promposal

Promposal Day
donate your hair

Donate Your Hair Day
kiss a brunette

Kiss A Brunette Day
lisp

Lisp Day