In most cases, the stay-at-home parent would have a claim to an equitable division of any marital property that was accrued during the course of the marriage. Marital property can be divided by the court regardless of how it was titled or by whom it was purchased.
For instance, if the parties acquire a car, house, or other property during the marriage and it is only titled to one spouse, it is still considered marital property. As part of the divorce proceedings, the court will divide that property up equitably between the parties. And, as a financially-dependent spouse, you can seek alimony as support. Alimony would be awarded if you have been financially dependent throughout the course of the marriage on the other spouse.