POWER OF ATTORNEY
                         For Executing Forms 3, 4 and 5

        Know all by these present, that the undersigned hereby constitutes and
appoints each of Todd Strickler and Ryan Tarkington, signing singly, as the
undersigned's true and lawful attorney-in-fact to:

(1)     execute for and on behalf of the undersigned, in the undersigned's
        capacity as an officer and/or director of Paragon Offshore plc, a
        company organized under the law of England and Wales (the "Company"),
        Forms 3, 4 and 5 in accordance with Section 16(a) of the Securities
        Exchange Act of 1934, as amended, and the rules promulgated thereunder;

(2)     do and perform any and all acts for and on behalf of the undersigned
        which may be necessary or desirable to complete and execute any such
        Form 3, 4 or 5 and timely file such form with the United States
        Securities and Exchange Commission and any stock exchange or similar
        authority; and

(3)     take any other action of any type whatsoever in connection with the
        foregoing which, in the opinion of such attorney-in-fact, may be of
        benefit to, in the best interest of, or legally required by, the
        undersigned, it being understood that the documents executed by such
        attorney-in-fact on behalf of the undersigned pursuant to this Power of
        Attorney shall be in such form and shall contain such terms and
        conditions as such attorney-in-fact may approve in his or her
        discretion.

        The undersigned hereby grants to such attorney-in-fact full power and
authority to do and perform any and every act and thing whatsoever requisite,
necessary or proper to be done in the exercise of any of the rights and powers
herein granted, as fully to all intents and purposes as the undersigned might or
could do if personally present, with full power of substitution or revocation,
hereby ratifying and confirming all that such attorney-in-fact, or his or her
substitute or substitutes, shall lawfully do or cause to be done by virtue of
this Power of Attorney and the rights and powers herein granted. The undersigned
acknowledges that the foregoing attorney-in-fact, in serving in such capacity at
the request of the undersigned, is not assuming, nor is the Company assuming,
any of the undersigned's responsibilities to comply with Section 16 of the
Securities Exchange Act of 1934.

        This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4 and 5 with respect to the
undersigned's holdings of and transactions in securities relating to the
Company, unless earlier revoked by the undersigned in a signed writing delivered
to the foregoing attorney-in-fact.

        IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney
to be executed as of this 17TH day of July 2014.

                                        /s/ Dean E. Taylor
                                        ----------------------------------------
                                        Dean E. Taylor