Her daughter was not a derivative, and a lawyer will not change that. Derivative beneficiaries are not allowed in Immediate Relative cases. The OP obtained an IR-2 visa. She will need to file a new I-130 for her daughter and wait 3 years.
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http://santodomingo.usembassy.gov/iv-faq-answers.html
What is the principal beneficiary of a petition and what is a derivative beneficiary?
In a family-based immigrant visa case, the principal beneficiary of a petition is the person on whose behalf the petition was filed, that is, the person listed on the right side of the front of Form I-130 (Petition for Alien Relative). A derivative beneficiary is the spouse or child of the principal beneficiary. A preference family-based case may have many derivative beneficiaries in addition to the principal beneficiary, and all of the beneficiaries (principal and derivatives) share the same petition and the same case number. There are no derivative beneficiaries in immediate relative family-based cases, which means that each applicant must have his or her own petition and individual case number.