It wasn't the Nurse's daughter, it is Lady Capulet's; and in the book the nurse uses a famous earthquake that had happened 11 years ago (in Shakespeare's time) to mark the date of which year Juliet was born on.
Susan
Angela
peter
The nurses sisters name is Dorothy.
Angelica
She is earthy, practical and not particularly scrupulous.
She was born on "Lammas Eve at night" (August 1), so Juliet's birthday is July 31 (1.3.19). Her birthday is "a fortnight hence", putting the action of the play in mid-July (1.3.17).
Sparknotes apparently says that August 1st is Romeo's birthday. This is why you should never trust Sparknotes, because Romeo's birthday is never mentioned in the text, although Juliet's is (it is July 31).
The nurses sisters name is Dorothy.
Obviously everyone thats ever been born, has a birthday. But no one knows exactly when Romeo's birthday is... Simply, because no one cares.
Juliet tells the nurse about Romeo in order to send her as a messenger the day after the party. This happens offstage so we don't see how the nurse reacts. From the nurse's behaviour when she meets with Romeo it is clear that she is suspicious, because she warns Romeo not to take advantage of Juliet's youth and inexperience. However, Romeo wins her over, and she subsequently praises him to Juliet.
Mercutio, in Act 2 Scene 4