After a part of a municipality is annexed to another municipality, proceedings theretofore instituted to take land for the purpose of opening any street, alley, or other public way, within the annexed territory may proceed to a finality, if the annexing municipality so elects. If the annexing municipality elects to proceed, the proceedings shall be continued in the name of the municipality from which the territory has been disconnected as though the annexed territory had not been disconnected. All funds received from any special assessment or special tax levied or assessed for the special purpose shall be paid to the annexing municipality, to be used by that municipality for the purpose for which the funds were collected.
65 ILCS 5/7-1-36