How to connect arduino directly to mysql server using the url?

I started a project with my arduino MEGA2560 that get some values from sensors. I'm using Mysql Connector, https://launchpad.net/mysql-arduino , and this lib allow me to connect to a server using the IPAddress and it worked on localhost.

This is the code:

            /* Setup for all libraries */
            #include <SPI.h>
            #include <Ethernet.h>
            #include <sha1.h>
            #include <mysql.h>
            #include <OneWire.h>


            /* Setup for Ethernet Library */
            byte mac_addr[] = { 0x90, 0xA2, 0xDA, 0x0E, 0xB3, 0x05 }; //mac must be unique, this is the ethernet shield addr
            IPAddress server_addr( 177, 156, 122, 113 ); // server addr


            /* Setup for all others variables */
            int DS18S20_Pin = 2;//Temperature sensor
            float temperature;
            float placasTensao;
            float placasCorrente;
            float geradorEolicoTensao;
            float geradorEolicoCorrente;
            float bateriaTensao;
            float bateriaTemp;
            float correnteSaidaControlador;
            float correnteSaidaConsumo;

            OneWire ds(DS18S20_Pin);  // on digital pin 2


            /* Setup for the Connector/Arduino */
            Connector my_conn; // The Connector/Arduino reference


            /*Setup for connection and all variables of the database*/
            char user[] = "";
            char password[] = "";
            char INSERT_SQL[1000];
            char temperature_convt[10], placasTensao_convt[10], placasCorrente_convt[10], geradorEolicoTensao_convt[10],
                 geradorEolicoCorrente_convt[10], bateriaTensao_convt[10], bateriaTemp_convt[10], correnteSaidaControlador_convt[10],
                 correnteSaidaConsumo_convt[10];


            void setup(){
              Ethernet.begin(mac_addr);
              Serial.begin(9600);
              delay(1000);
            }

            void loop(){
              temperature = getTemp();
              convert(temperature, temperature_convt);

              snprintf(INSERT_SQL, "INSERT INTO data.data VALUES (%s, 1, 1, 1, 1, 1, 1, 1, NULL)", temperature_convt);

              sendData();
              delay(20000);
            }


            //Convert a float variable to string
            void convert(float data, char *value){
              dtostrf(data, 7, 3, value);
            }


            //Saves all data on database
            void sendData(){
              Serial.println("Connecting...");
              if (my_conn.mysql_connect(server_addr, 3306, user, password)){
                delay(500);
                Serial.println("Starting SQL!");
                Serial.println(INSERT_SQL);
                my_conn.cmd_query(INSERT_SQL);
                Serial.println("Query Success!");
                my_conn.disconnect();
                Serial.println("\n");
              } else {
                Serial.println("Connection failed!");
                Serial.println("Make sure all cables are properly connected!\nIf they are, restart the Arduino!\n");
              }
            }


            //Returns the temperature from one DS18S20 in DEG Celsius
            float getTemp(){
              byte data[12];
              byte addr[8];

              if ( !ds.search(addr)) {
                  //No more sensors on chain, reset search
                  ds.reset_search();
                  return -1000;
              }

              if ( OneWire::crc8( addr, 7) != addr[7]) {
                  Serial.println("CRC is not valid!");
                  return -1000;
              }

              if ( addr[0] != 0x10 && addr[0] != 0x28) {
                  Serial.print("Device is not recognized");
                  return -1000;
              }

              ds.reset();
              ds.select(addr);
              ds.write(0x44,1); // Start conversion, with parasite power on at the end

              byte present = ds.reset();
              ds.select(addr);    
              ds.write(0xBE); // Read Scratchpad


              for (int i = 0; i < 9; i++) { // we need 9 bytes
                data[i] = ds.read();
              }

              ds.reset_search();

              byte MSB = data[1];
              byte LSB = data[0];

              float tempRead = ((MSB << 8) | LSB); //using two's compliment
              float TemperatureSum = tempRead / 16;

              return TemperatureSum;
            }

Now, how can I connect to a server using the URL? Is there any library like Mysql Connector that allow me to use the URL instead the IP address?

All I want is to do exactly the same thing that I'm doing with Mysql connector, but using the URL of the server instead the IP address.