Illegitimate children aren't eligible for titles even if fathered by a member of the royal family.
Adopted children aren't either.
Technically they would be surrogates, and would be legitimised by the marriage (if using the common sense logic that applies to everyone else not descended from an inbred family of German protestants) but there's no precedent.
It's a weird request from a person who claims descent from
Charlemagne and
William the Conqueror, claims to have been born a Russian countess (in 1949 when Russian nobility wasn't a thing anymore) and adopted two children herself.
She's stark raving mad, and a case study example of why you shouldn't raise children with deformed genitals as the opposite sex if you want to create a balanced adult.