My husband and I own a home together however it's solely in his name and being rented currently, do I have legal rights to the home?

If the house was purchased during the marriage with marital assets (money not obtained before the marriage or through an inheritance or accident settlement), in the event of a divorce, you'd be entitled rlto half the rent and half the value of the property. If the house was purchased before the marriage you don't have rights to the property but you do have a right to half the rental income.