Well, that's what they are saying that she did. Here is a link:
(6) Illegal entrants and immigration violators.-
(A) 8/ ALIENS PRESENT WITHOUT admission or parole.-
(i) In general.-An alien present in the United States without being admitted or paroled, or who arrives in the United States at any time or place other than as designated by the Attorney General, is inadmissible.
(ii) Exception for certain battered women and children.-Clause (i) shall not apply to an alien who demonstrates that-
(I) the alien is a VAWA self-petitioner; 6aa/
(II)(a) the alien has been battered or subjected to extreme cruelty by a spouse or parent, or by a member of the spouse's or parent's family residing in the same household as the alien and the spouse or parent consented or acquiesced to such battery or cruelty, or (b) the alien's child has been battered or subjected to extreme cruelty by a spouse or parent of the alien (without the active participation of the alien in the battery or cruelty) or by a member of the spouse's or parent's family resi ding in the same household as the alien when the spouse or parent consented to or acquiesced in such battery or cruelty and the alien did not actively participate in such battery or cruelty, and
(III) there was a substantial connection between the battery or cruelty described in subclause (I) or (II) and the alien's unlawful entry into the United States.
(B) Failure to attend removal proceeding.-Any alien who without reasonable cause fails or refuses to attend or remain in attendance at a proceeding to determine the alien's inadmissibility or deportability and who seeks admission to the United States within 5 years of such alien's subsequent departure or removal is inadmissible.
(i) In general.-Any alien who, by fraud or willfully misrepresenting a material fact, seeks to procure (or has sought to procure or has procured) a visa, other documentation, or admission into the United States or other benefit provided under this Act is inadmissible.
(ii) 9/ FALSELY CLAIMING CITIZENSHIP-
(I) IN GENERAL- Any alien who falsely represents, or has falsely represented, himself or herself to be a citizen of the United States for any purpose or benefit under this Act (including section 274A ) or any other Federal or State law is inadmissible.
(II) EXCEPTION- In the case of an alien making a representation described in subclause (I), if each natural parent of the alien (or, in the case of an adopted alien, each adoptive parent of the alien) is or was a citizen (whether by birth or naturalization), the alien permanently resided in the United States prior to attaining the age of 16, and the alien reasonably believed at the time of making such representation that he or she was a citizen, the alien shall not be considered to be inadmissible under any provision of this subsection based on such representation.
(iii) Waiver authorized.-For provision authorizing waiver of clause (i), see subsection (I).
The (e) is incorrect as you have it. So please check that statute again and then let me know if it is (i), (ii). I hope it isn't (ii) because then I will have probably the worst news for you and I just ask that you do not blame the messenger.