Whenever a petition signed by not less than fifty-one percent (51%) of the owners of property located in that portion of a cemetery district located within the corporate limits of any city of the third class located in two (2) counties, requesting that property located within such city be excluded from the boundaries of the cemetery district and describing such property shall be filed with the board of county commissioners of such county, it shall be the duty of such board of commissioners at its next regular meeting to examine said petition and if it has been signed by fifty-one percent (51%) or more of the owners of such property and that there is no outstanding indebtedness against said cemetery district, it shall enter an order in its proceedings excluding such territory from the boundaries of the cemetery district. Such order shall be entered only if the excluded territory is to be attached to another cemetery’s district.