Document:

<PAGE>   1
                                                                     Exhibit 4.1

                             [Front of Certificate]

NUMBER                                                              SHARES
COMM
_______                                                             ________

                                CORECOMM LIMITED
                     INCORPORATED UNDER THE LAWS OF DELAWARE

                                  COMMON STOCK

THIS CERTIFIES THAT _________________________________________________ is the
owner of ______________________________________fully paid and non- assessable
shares of the common stock of CORECOMM LIMITED transferable on the books of the
Corporation by the holder hereof in person or by a duly authorized attorney upon
surrender of this certificate properly endorsed. This certificate is not valid
unless countersigned by the Transfer Agent and registered by the Registrar.
WITNESS the facsimile seal of the Corporation and the facsimile signature of its
duly authorized officers.

Dated:______

----------------------------                     ----------------------------
         Secretary                                          President

<PAGE>   2
                              [Back of Certificate]

                                CORECOMM LIMITED

         This certificate also evidences and entitles the holder hereof to
certain Rights as set forth in a Rights Agreement between CoreComm Limited (the
"Company") and Continental Stock Transfer & Trust Company (the "Rights Agent")
dated as of September 29, 2000 (the "Rights Agreement"), the terms of which are
hereby incorporated herein by reference and a copy of which is on file at the
principal offices of the Company. Under certain circumstances, as set forth in
the Rights Agreement, such Rights shall be evidenced by separate certificates
and shall no longer by evidenced by this certificate. The Company shall mail to
the holder of this certificate a copy of the Rights Agreement, as in effect on
the date of mailing, without charge promptly after receipt of a written request
therefor. Under certain circumstances set forth in the Rights Agreement, Rights
issued to, or held by, any Person who is, was or becomes an Acquiring Person or
any Affiliate or Associate thereof (as such terms are defined in the Rights
Agreement), whether currently held by or on behalf of such Person or by any
subsequent holder, may become null and void.

         The following abbreviations when used in the inscription on the face of
this certificate, shall be construed as though they were written out in full
according to applicable laws or regulations:

         TEN COM -- as tenants in common UNIF GIFT MIN ACT -- Custodian
         TEN ENT -- as tenants by the entireties (Cust) (Minor)
         JT TEN  -- as joint tenants with right of survivo Uniform Gifts to
                    Minors Act . . .
                    and not as tenants in common                    (State)

         Additional abbreviations may also be used though not in the above list.

FOR VALUE RECEIVED, _____ HEREBY SELL, ASSIGN AND TRANSFER UNTO

PLEASE INSERT SOCIAL SECURITY OR OTHER
       IDENTIFYING NUMBER OF ASSIGNEE

------------------------------------------

========================================================================

SHARES OF THE CAPITAL STOCK REPRESENTED BY THE WITHIN CERTIFICATE, AND DO HEREBY
IRREVOCABLY CONSTITUTE AND APPOINT ____________________ ATTORNEY TO TRANSFER THE
SAID STOCK ON THE BOOKS OF THE WITHIN NAMED CORPORATION WITH FULL POWER OF
SUBSTITUTION IN THE PREMISES.

DATED: _____________________

               NOTICE: ________________________________________________________

                       THE SIGNATURE TO THIS ASSIGNMENT MUST CORRESPOND WITH
                       THE NAME AS WRITTEN UPON THE FACE OF THE CERTIFICATE
                       IN EVERY PARTICULAR, WITHOUT ALTERATION OR ENLARGEMENT
                       OR ANY CHANGE WHATEVER

Signature(s) Guaranteed:

----------------------------------------------------------------------------
THE SIGNATURES(S) SHOULD BE GUARANTEED BY AN ELIGIBLE GUARANTOR INSTITUTION
(BANKS, STOCKBROKERS, SAVINGS AND LOAN ASSOCIATIONS AND CREDIT UNIONS WITH
MEMBERSHIP IN AN APPROVED SIGNATURE GUARANTEE MEDALLION PROGRAM), PURSUANT TO
S.E.C. RULE 17Ad-15.<PAGE>   1
                                                                    Exhibit 4.2

                             [Front of Certificate]

NUMBER                                                             SHARES
COMM
_______                                                            ________

                                CORECOMM LIMITED
                     INCORPORATED UNDER THE LAWS OF DELAWARE

                                 PREFERRED STOCK
       Shares of Series B Senior Convertible Exchangeable Preferred Stock
                 par value $0.01 per share, of CoreComm Limited

THIS CERTIFIES THAT _________________________________________________ is the
owner of ______________________________________Shares of the Preferred Stock of
CORECOMM LIMITED fully paid and non-assessable, transferable only on the books
of the Corporation in person or by Attorney upon surrender of this Certificate
properly endorsed. In Witness Whereof, the said Corporation has caused this
Certificate to be signed by its duly authorized officers, and its Corporate Seal
to be hereunto affixed this _____ day of __________ A.D. _____.

----------------------------                     ----------------------------
     Secretary/Treasurer                                  President

<PAGE>   2
                              [Back of Certificate]

THE SHARES REPRESENTED BY THIS CERTIFICATE ARE SUBJECT TO THE PROVISIONS OF A
STOCKHOLDER AGREEMENT AMONG THE COMPANY AND CERTAIN STOCKHOLDERS, AND MAY NOT BE
SOLD OR TRANSFERRED EXCEPT IN ACCORDANCE THEREWITH. COPIES OF SAID AGREEMENT ARE
ON FILE AT THE OFFICES OF THE SECRETARY OF THE COMPANY.

         The following abbreviations when used in the inscription on the face of
this certificate, shall be construed as though they were written out in full
according to applicable laws or regulations:

         TEN COM -- as tenants in common UNIF GIFT MIN ACT -- Custodian . . .
                    under
         TEN ENT -- as tenants by the entireties (Cust) (Minor)
         JT TEN  -- as joint tenants with right of survivo Uniform Gifts to
                    Minors Act . . . and not as tenants in common       (State)

         Additional abbreviations, may also be used though not in the
         above list.

FOR VALUE RECEIVED, _____ HEREBY SELL, ASSIGN AND TRANSFER UNTO

PLEASE INSERT SOCIAL SECURITY OR OTHER
       IDENTIFYING NUMBER OF ASSIGNEE

----------------------------------------------

_____________________________SHARES REPRESENTED BY THE WITHIN CERTIFICATE, AND
DO HEREBY IRREVOCABLY CONSTITUTE AND APPOINT ________________________ ATTORNEY
TO TRANSFER THE SAID SHARES ON THE BOOKS OF THE WITHIN NAMED CORPORATION WITH
FULL POWER OF SUBSTITUTION IN THE PREMISES.

                                    DATED: ___________________________
                                    IN PRESENCE OF

---------------------------                     ----------------------------<PAGE>   1
                                                                     Exhibit 4.3

                             [Front of Certificate]

NUMBER                                                               SHARES
________                                                             ________

                                CORECOMM LIMITED
                     INCORPORATED UNDER THE LAWS OF DELAWARE

                                 PREFERRED STOCK
             Shares of Series C Junior Participating Preferred Stock
                 par value $0.01 per share, of CoreComm Limited

THIS CERTIFIES THAT _________________________________________________ is the
owner of ______________________________________Shares of the Preferred Stock of
CORECOMM LIMITED fully paid and non-assessable, transferable only on the books
of the Corporation in person or by Attorney upon surrender of this Certificate
properly endorsed. In Witness Whereof, the said Corporation has caused this
Certificate to be signed by its duly authorized officers, and its Corporate Seal
to be hereunto affixed this _____ day of __________ A.D. _____.

-----------------------------                      -----------------------------
    Secretary/Treasurer                                      President

<PAGE>   2

                              [Back of Certificate]

THE SHARES OF SERIES C JUNIOR PARTICIPATING PREFERRED STOCK EVIDENCED BY THIS
CERTIFICATE HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933, AS
AMENDED (THE "ACT"), OR THE SECURITIES LAWS OF ANY STATE AND SUCH SHARES OF
PREFERRED STOCK MAY NOT BE SOLD OR OTHERWISE DISPOSED OF EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER SUCH ACT AND APPLICABLE STATE SECURITIES
LAWS OR PURSUANT TO AN APPLICABLE EXEMPTION TO THE REGISTRATION REQUIREMENTS OF
SUCH ACT AND SUCH STATE SECURITIES LAWS.

         The following abbreviations, when used in the inscription on the face
of this certificate, shall be construed as though they were written out in full
a ccording to applicable laws or regulations:

         TEN COM -- as tenants in common UNIF GIFT MIN ACT -- . . .
                    Custodian . . . under
         TEN ENT -- as tenants by the entireties (Cust) (Minor)
         JT TEN  -- as joint tenants with right of survivo Uniform Gifts to
                    Minors Act . . . and not as tenants in common       (state)

         Additional abbreviations may also be used though not in the above list.

FOR VALUE RECEIVED, _____ HEREBY SELL, ASSIGN AND TRANSFER UNTO

PLEASE INSERT SOCIAL SECURITY OR OTHER
       IDENTIFYING NUMBER OF ASSIGNEE

--------------------------------------

______________________________________SHARES REPRESENTED BY THE WITHIN
CERTIFICATE, AND DO HEREBY IRREVOCABLY CONSTITUTE AND APPOINT
________________________ ATTORNEY TO TRANSFER THE SAID SHARES ON THE BOOKS
OF THE WITHIN NAMED CORPORATION WITH FULL POWER OF SUBSTITUTION IN THE PREMISES.

                                    DATED: ________________________________
                                    IN PRESENCE OF

----------------------------                  -----------------------------

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