Thanks. I thought so too but wondering if the SSA go by the visa she has in the passport i.e K1 and might reject saying that she is not eligible to work until she gets the EAD which will be at least 6-8 months down the road after applying for the green card. If they go by that she gets the SSN now which will not be valid for work and later after getting the EAD reapply to change it to eligible to work. Very confusing.