Interesting question and the solution, I think is not all that cut-and-dried. The general considration in such matters is that a wife takes the Caste of the husband and yet, a 'forward' Caste female is usually not entitled to uplifiting/enabling provisions of law if she marries a male belonging to a 'backward' caste [see the dilemma in Rameshbhai Dabhai Naika v. State Of Gujarat & Ors (2012) 3 SCC 400; also a summarization of previous position].
In Meenaben Kanubhai Solanki v. State of Gujarat, a lady was seeking Caste Certificate after her marriage with one Kanubhai Solanki, not for herself, but for her children born of her first marriage with one Lalitkumar Tripathi. Since the High Court of Gujarat had not been called to adjudicate the question, it gladly dropped it into the lap of comptent authority [outcome unkown to me]
...the said issue is of serious consideration by the competent authority who shall have to examine with proper care and caution as to whetherth children from first marriage with Mr. Lalitkumar Tripathi are entitled to claim such 'Caste Certificate' (i.e. Scheduled Caste Certificate)...The competent authority may take up the representation of the petitioner for consideration and pass appropriate order strictly in accordance with law and applicable provisions, policy and legal position settled by the decisions of the Court ... It is clarified that present order shall not be construed as an acceptance of the petitioner's request. It is clarified that the Court has not entered into the merits and has not expressed any opinion on merits.