You won’t get an FSA ID if they can’t match your SSN with the information. I don’t think the name match is as sensitive as SSN and birth date when you put it in. I thought the name was the problem with my daughter, who has 2 first names and a middle name (ie, “Mary Sue” is her first name, “Jane” is her middle name), and I tried all kinds of combos, Mary Sue J., Marysue J, Mary S). It turns out it was her SSN entered wrong but hard to tell because it appears as *** ** **** on the application page. As soon as I found that error, the name didn’t seem to matter. Had a problem with mine because I’d reversed the last two numbers of my birth date. and that took me two tries to find (it looked right because they were the right numbers, just switched).
It won’t let you complete the forms until you get the FSA ID.
It may be that you are putting in all the numbers correctly, but SSA has your birth date wrong, a maiden name for your mother (if she’s had the same number for ages), the wrong status if either of you had a number before you became a citizen.
Good luck. If you need to change something, you have to go into the SSA office, they won’t do it by phone.