As a United State legal resident, you can marry and file an I-130 petition for your H1B fiance. The petition will be classified in the F2A [immediate relative of a Lawful Permanent Resident] The current processing time is about 27 months for visas in that category to become current. By then, her H1b visa will have since expired. Unless you have naturalized by then, please note under current law, she may not be eligible to adjust her status if she is not in status when her visa becomes current. You'd need to consult with an attorney to define a strategy for her to remain in some kind of nonimmigrant status for the duration of the period that her I-130 petition is pending.
Answered on Jan 29th, 2013 at 9:27 AM