Your lawyer is doing good job. It is good to make MTR rather then appeal:
A motion to reopen must state the new facts that are to be provided in the reopened proceeding and must be accompanied by affidavits or other documentary evidence. A motion to reconsider must establish that the decision was based on an incorrect application of law or USCIS policy, and further establish that the decision was incorrect based on the evidence in the file at the time the decision was made. Any motion to reopen or reconsider must be filed with the correct fee within 30 days of the decision.
This may then be followed by another appeal.
See it gives your case an edge. Rejections are rarely done without careful consideration. There must be something in your case(I am not aware of facts) that is not presenting facts in a way that your case could be approved. Let her file MTR. She is quoting right amount for the application. The application that she will be filing is I290B. Form I290A is discontinued. Check:
http://uscis.gov/lpBin/lpext.dll/inserts/fr/fr-96281/fr-100833/fr-100835?f=templates&fn=document-frame.htm#fr-69fr20528
The fees for I290B is $120.
And what is the law?
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Sec. 103.3 Denials, appeals, and precedent decisions.
(a) Denials and appeals--
(1) General--
(i) Denial of application or petition. When a Service officer denies an application or petition filed under Sec. 103.2 of this part, the officer shall explain in writing the specific reasons for denial. If Form I - 292 (a denial form including notification of the right of appeal) is used to notify the applicant or petitioner, the duplicate of Form I-292 constitutes the denial order.
(ii) Appealable decisions. Certain unfavorable decisions on applications, petitions, and other types of cases may be appealed. Decisions under the appellate jurisdiction of the Board of Immigration Appeals (Board) are listed in Sec. 3.1(b) of this chapter. Decisions under the appellate jurisdiction of the Associate Commissioner, Examinations, are listed in Sec. 103.1(f)(2) of this part.
(iii) Appeal--
(A) Jurisdiction. When an unfavorable decision may be appealed, the official making the decision shall state the appellate jurisdiction and shall furnish the appropriate appeal form.
(B) Meaning of "affected party." For purposes of this section and Sec.Sec. 103.4 and 103.5 of this part, "affected party" (in addition to the Service) means the person or entity with legal standing in a proceeding. It does not include the beneficiary of a visa petition. An affected party may be represented by an attorney or representative in accordance with part 292 of this chapter.
(C) Record of proceeding. An appeal and any croff-appeal or briefs become part of the record of proceeding.
(D) Appeal filed by Service officer in case within jurisdiction of Board. If an appeal is filed by a Service officer, a copy must be served on the affected party.
(iv) Function of Administrative Appeals Unit (AAU). The AAU is the appellate body which considers cases under the appellate jurisdiction of the Associate Commissioner, Examinations. (TM 5/90)
(v) Summary dismissal. An officer to whom an appeal is taken shall summarily dismiss any appeal when the party concerned fails to identify specifically any erroneous conclusion of law or statement of fact for the appeal. The filing by an attorney or representative accredited under 8 CFR 292.2(d) of an appeal which is summarily dismissed under this section may constitute frivolous behavior as defined in 8 CFR 292.3(a)(15). Summary dismissal of an appeal under Sec. 103.3(a)(1)(v) in no way limits the other grounds and procedures for disciplinary action against attorneys or representatives provided in 8 CFR 292.2 or in any other statute or regulation.
(2) AAU appeals in other than special agricultural worker and legalization cases.
(i) Filing appeal. The affected party shall file an appeal on Form I-290B. Except as otherwise provided in this chapter, the affected party must pay the fee required by Sec. 103.7 of this part. The affected party shall file the complete appeal including any supporting brief with the office where the unfavorable decision was made within 30 days after service of the decision.
(ii) Reviewing official. The official who made the unfavorable decision being appealed shall review the appeal unless the affected party moves to a new jurisdiction. In that instance, the official who has jurisdiction over such a proceeding in that geographic location shall review it.
(iii) Favorable action instead of forwarding appeal to AAU. The reviewing official shall decide whether or not favorable action is warranted. Within 45 days of receipt of the appeal, the reviewing official may treat the appeal as a motion to reopen or reconsider and take favorable action. However, that official is not precluded from reopening a proceeding or reconsidering a decision on his or her own motion under Sec. 103.5(a)(5)(i) of this part in order to make a new decision favorable to the affected party after 45 days of receipt of the appeal.
(iv) Forwarding appeal to AAU. If the reviewing official will not be taking favorable action or decides favorable action is not warranted, that official shall promptly forward the appeal and the relating record of proceeding to the AAU in Washington, DC.
(ii) Form I - 694, Notice of Appeal, in triplicate, shall be used to file the appeal, and must be accompanied by the appropriate fee. Form I - 694 shall be furnished with the notice of denial at the time of service on the alien.
(iii) Upon receipt of an appeal, the administrative record will be forwarded to the Administrative Appeals Unit as provided by Sec. 103.1(f)(2) of this part for review and decision. The decision on the appeal shall be in writing, and if the appeal is dismissed, shall include a final notice of ineligibility. A copy of the decision shall be served upon the petitioner and his or her attorney or representative of record. No further administrative appeal shall lie from this decision, nor may the petition be filed or reopened before an immigration judge or the Board of Immigration Appeals during exclusion or deportation proceedings.
(iv) Any appeal which is filed that: fails to state the reason for the appeal; is filed solely on the basis of a denial for failure to file the petition for adjustment of status under Part 210a of this title in a timely manner; or is patently frivolous, will be summarily dismissed. An appeal received after the thirty (30) day period has tolled will not be accepted for processing. (TM 9/89)