If a woman converts to Judaism while pregnant, will her child be eligible to marry a Kohen?
Case #1 -- Assume her husband is a Jew by birth.
Case #2 -- Assume her husband converted to Judaism prior to the child's conception. (I know the kohanim have assumed an extra stringency against marrying the child of two converts. However, would there be a Biblical prohibition in the case I describe?)
Case #3 -- Assume her husband was a non-Jew at the time of conception. (Again, would there be a Biblical prohibition? --I know there would be rabbinical prohibitions as discussed here.)