Exhibit 31.1



CERTIFICATION



I, Elaina C. Rodgers, certify that:



| | 1. | I have reviewed this annual report on Form 10-K
                                            of MV Oil Trust, for which The Bank of New York Mellon Trust Company, N.A. acts as Trustee;
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| | 2. | Based on my knowledge, this report does
                                            not contain any untrue statement of a material fact or omit to state a material fact necessary
                                            to make the statements made, in light of the circumstances under which such statements were
                                            made, not misleading with respect to the period covered by this report;
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| | 3. | Based on my knowledge, the financial statements,
                                            and other financial information included in this report, fairly present in all material respects
                                            the financial condition, distributable income and changes in trust corpus of the registrant
                                            as of, and for, the periods presented in this report;
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| | 4. | I am responsible for establishing and maintaining
                                            disclosure controls and procedures (as defined in Exchange Act Rules 13a-15(e) and
                                            15d- 15(e)), and internal control over financial reporting (as defined in Exchange Act Rules 13a-15(f) and
                                            15d-15(f)) for the registrant and I have:
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| | (a) | Designed such disclosure controls and procedures,
                                            or caused such disclosure controls and procedures to be designed under my supervision, to
                                            ensure that material information relating to the registrant, including its consolidated subsidiaries,
                                            is made known to me by others within those entities, particularly during the period in which
                                            this report is being prepared; and
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| | (b) | Designed such internal control over financial
                                            reporting, or caused such internal control over financial reporting to be designed under
                                            my supervision, to provide reasonable assurance regarding the reliability of financial reporting
                                            and the preparation of financial statements for external purposes in accordance with generally
                                            accepted accounting principles; and
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| | (c) | Evaluated the effectiveness of the registrant’s
                                            disclosure controls and procedures and presented in this report my conclusions about the
                                            effectiveness of the disclosure controls and procedures, as of the end of the period covered
                                            by this report based on such evaluation; and
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| | (d) | Disclosed in this report any change in the
                                            registrant’s internal control over financial reporting that occurred during the registrant’s
                                            most recent fiscal quarter (the registrant’s fourth fiscal quarter in the case of an
                                            annual report) that has materially affected, or is reasonably likely to materially affect,
                                            the registrant’s internal control over financial reporting; and
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| | 5. | I have disclosed, based on my most recent
                                            evaluation of internal control over financial reporting, to the registrant’s auditors:
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| | (a) | All significant deficiencies and material
                                            weaknesses in the design or operation of internal control over financial reporting, which
                                            are reasonably likely to adversely affect the registrant’s ability to record, process,
                                            summarize and report information; and
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| | (b) | Any fraud, whether or not material, that
                                            involves any persons who have a significant role in the registrant’s internal control
                                            over financial reporting.
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In giving the foregoing certifications
in paragraphs 4 and 5, I have relied to the extent I consider reasonable on information provided to me by MV Partners, LLC.



Date: March 17, 2022



| | /s/ ELAINAC.
  RODGERS                                                                                       
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| | Elaina C. RodgersVice President
  The Bank of New York Mellon Trust Company, N.A.,
  Trustee for MV Oil Trust