If you are married then there shouldn't be any issue with you insuring the vehicle. If the registration is also in her name then she will need to be listed on the policy. In fact, a married couple generally qualifies for lower rates than people listed on separate policies so it would make the most sense for both of you to be insured under the same policy. You'll likely pay less together than you would separately. I recommend comparing rates
with as many companies as possible to find your best option.