Get current location name of user without using gps or internet but by using Network_Provider in android

What you are referring to here (showing location name on older phones) is done using "Cell Broadcast" (or "CB"). This has absolutely nothing to do with the Location API or any variations on that.

Cell towers can send out broadcast information that can be received by devices (something like "one to many SMS"). Some operators have used Cell Broadcast to broadcast the name of the location where the cell tower is. Some operators have used Cell Broadcast to broadcast the location (lat/long) of the cell tower. Some operators have used Cell Broadcast to send advertising tickers. There are no standards for the information contained in a CB broadcast message and each mobile operator can choose to use this or not.

Since most operators do not send these messages, it probably doesn't make sense to invest any time in trying to receive and decode them. But if you want to try, you can register a BroadcastReceiver listening for this Intent action: android.provider.Telephony.SMS_CB_RECEIVED. See the documentation for more details about what data is contained in the Intent.