The only way the income of a person who is not on the title can be used to secure a loan is if you are a co-signer on the loan. This is less of an issue of property possession and more of an issue that if the borrower fails to repay, the co-signer is liable for the loan.
You probably want to refinance right away and the borrower on there now perhaps can’t qualify alone. Here’s the only way to make it happen:
You must be on title for a 12 month seasoning period before you can apply for a new refinance and have your income count for qualifying purposes.
As long as the seasoning period is met, any person who is on title (seasoned) can apply for the new loan on the property, with or without the previous borrower. The seasoning period is the only way to meet the “continuity of obligation” requirement. Otherwise, the person who was on the loan before must be on the new loan. Either way, it’s 12 months before your income will count.
A quit claim deed relinquishes whatever claim to title the signer had. In order to have your income count in a refinance, you have to be on the loan, and cannot be on the loan without being on title as well. You could be added back to title, if need be, to have your income count on the refinance (and with you being a co-borrower on the loan), but no, your income will not be used for qualifying purposes if you are not on both title and the new loan. Hope that helps, let me know if you have more questions, Ted