Deductions & credits

I am asking specifically about a Medicare SUPPLEMENT that she is buying in her name (from an insurance company to supplement her Medicare).  She does not have a business, she is retired.  It is my business for which I am taking the self-employed health insurance deduction.  I have read that I can deduct her Medicare premiums, but I have also read that any other insurance bought by her has to be in my name in order to deduct it.  Is that true?