Every lender is different, but what really matters to ALL lenders is your ability to meet the monthly mortgage payments and your ability to repay the loan.
Since your wife has no documented income right now, she has no ability to repay the loan despite her good credit.
I do not know how old you and your wife are, but in a few years you may decide to have a child/children and that may also affect your family income and your wife's ability to work full time.
As for the Title to the property, your Wife can be on the Title without being on the mortgage. Legally speaking mortgage loan and title are two different documents - it does NOT mean Wife would be able to sell the property without repaying the mortgage loan; it only means that Wife is co-owner of the home.
NOTE: For legal or tax advice always contact professionals in those fields.