Findlaw reports:

GILLETT-NETTING v. BARNHART, No. 03-15442 (9th Cir. June 09, 2004)
Two minor children conceived by in-vitro fertilization after their
father’s death are entitled to insurance benefits under the Social
Security Act because they are their father’s legitimate children and
thus his dependants under Arizona law.
To read the full text of this opinion, go [here].