Medicare Questions

Your wife should take all parts of Medicare she can. Part A which is hospital is automatic and premium free. Some private ( company's) insurance require her to do so before she can be also be carried on your insurance. Medicare normally starts the 25 month after SSA disability or if A Dialysis patient right away or age 65 attained. Did she have a disability claim that was pending for a long time, or is she a renal patient, or age 65. You will need to carry your own insurance and there is several ways to do that.
Best of luck whatever you decide. For her med bills the provider will bill both Medicare and your company insurance. For your med bills your insurance will be billed.