Thanks for the concern in confirming the possibility of getting your daughter of next baby infected with HPV. Vaccines are used to prevent a possible infection getting transmitted to us. It do not offer protection against a disease you already have. As far as HPV vaccines are concerned, it protects those who have taken it at least 6 months before getting active sexually. If you are protected with the vaccine before the first time you had sex with your partner, you are sale along with your daughter and next baby. It is really rare that a HPV infection getting transmitted to your child in this condition. So, rest is assured. Take care.