How to send data to webserver using ESP8266

I'm pleased you had some success with it.

Doesn't this, from the linked example, write a response to the serial console:

  String payload = http.getString();                  //Get the response payload

  Serial.println(httpCode);   //Print HTTP return code
  Serial.println(payload);    //Print request response payload

If not, what, if anything, is your web server sending back in response to your http.POST command ?