Here is the solution:
1. The following setup (Fig-1) does not works; where VCC-pin of the sensor is connected with 3.3V-poin of ESP8266 based NodemCU. It shows: 0 and 0 for Temp and Humidity.

Figure-1:
2. The following setup (Fig-2) works; where the VCC-point of DHT-11 is connected to a seperate 5V supply.
Figure-2:
3. Serial Monitor Output under Setup of Fig-2.
Humidity is = 26
Temperature is = 31
===========================
Humidity is = 26
Temperature is = 31
===========================
Humidity is = 26
Temperature is = 31
===========================
Humidity is = 26
Temperature is = 31
===========================
