Each township includes unincorporated space and some may have one or more incorporated towns or cities.
Incorporated municipalities can and often do straddle township (and sometimes even county) lines.
[1] Most counties have now designated districts for these offices, which may ignore township boundaries.
Nevertheless, the names are of considerable use to genealogists and historians because the United States Census is enumerated by township.
This allows researchers to see the numbers of people in a specific section of a county based on the US Census.