Does Android OS have an option for showing Cell Info Display (Name of the cell Tower) on home screen ? (Without using external apps)
You will not be able to display this on the Home screen without 3rd party apps.
You can use this app called CellID Info from Google Play Store, you may find other apps that display this info too. The CellID Info doesn't say if it has a widget (i don't think it does) but some of the other ones might.
Just download OpenSignal from Play Store.
Its possible to read the Cell tower info since its one of the BroadCast messages. But it does not come up on screen automatically! It is possible to get this as notifications in SMS, once you enable Cell BroadCast messagess (CB) usually in the native SMS application settings.
Try Cell Info Display app available on Google Play.
Cell info display will be useful to know about the locality information in case of any travel to new location.
Limitations: This application works only if there is an Internet connectivity