Here are the specific FHA guidelines pertaining to employment history:
To be eligible for a mortgage, FHA does not require a minimum length of time that a borrower must have held a position of employment. However, the lender must verify the borrower's employment for the most recent two full years, and the borrower must:
1) explain any gaps in employment that span one or more months, and
2) indicate if he/she was in school or the military during the most recent two full years, providing evidence supporting this claim, such as
*college transcripts, or
Allowances can be made for seasonal employment, typical for the building trades and agriculture, if documented by the lender.
I believe that, in your case, if we can piece together the 2-year history you would be eligible for an FHA loan.
Let me know if you have questions or if I can help further.