see https://www.ssa.gov/pubs/EN-05-10137.pdf
You are category 5 (a) on page 7... 5. If you are a citizen of one of the countries listed in the chart below, we will continue to pay your benefits ... a) You are receiving benefits based on your own earnings,
Your spouse are category 5 (a) (2) on page 7, I assume he/she won't satisfy "“Additional residency requirements for dependents and survivors”see page 9. so he/she would not receive survivor benefit (half your your SS).
