Married but seperate mortgage?

OK, I think I am in a bit of a unique situation. I will try to just give the highlights that are most important:

I bough my first home prior to marriage (FHA) and now married 5 years am still the only one on the mortgage. We are looking to buy a bigger house outside the city, but:

I am a doctoral student currently with a private practice (mental health therapy) and at this point my education is qualified as a tax write off. With this huge write off, contributions to IRA, and business expenses, Ive made under 10k last year. Including the mortgage in my name, my income is nil.

My wife makes mid-50's a year, we both have really good credit (only student loans and a mortgage, ZERO credit cards or cars). With all our debt in my name, is it best for her to just try for a mortgage in her own name?? What would be the best way to handle this?