Q: My wife is permanently disabled and eligible for Medicare, but declined Medicare in favor of my group health insurance. I’ve been laid off and have to go on COBRA. Can my wife go on COBRA with me, or must she take Medicare? A: As long as your wife is not receiving an income or beneifts from Social Security or Medicare she can qualify for COBRA continuation. However, if she becomes entitled to Medicare by receiving their benefits then she will no longer be eligible for COBRA.