Main program:
public class MonthTester2 {

    public static void main(String[] args) {
        String monthName = "October";
        Month m = new Month(monthName);
        System.out.println(m.getName() +" "+ m.getNumber());
    }

}

Constructors:
//constructor 1, Finding Month based on Number
    public Month(int monthNumber) {
        //Failsafe
        if (monthNumber < 1 || monthNumber > 12) {
            throw new IllegalArgumentException("Month(): bad month number");
        }
        myNumber = monthNumber; //Find Month Number
        myName = MONTHS[monthNumber-1]; //Find Month Name
    }
    //constructor 2, Finding Month based on Name
    public Month(String monthName) {
         myName = monthName;
         if (monthName == "January") {
             myNumber = (0);
        }
         if (monthName == "February") {
             myNumber = (1);
         }
         if (monthName == "March") {
             myNumber = (2);
        }
         if (monthName == "April") {
             myNumber = (3);
        }
         if (monthName == "May") {
             myNumber = (4);
        }
         if (monthName == "June") {
             myNumber = (5);
        }
         if (monthName == "July") {
             myNumber = (6);
        }
         if (monthName == "August") {
             myNumber = (7);
        }
         if (monthName == "September") {
             myNumber = (8);
        }
         if (monthName == "October") {
             myNumber = (9);
        }
         if (monthName == "November") {
             myNumber = (10);
        }
         if (monthName == "December") {
             myNumber = (11);
         }

}
public int getNumber() { return myNumber; }
public String getName() { return myName; }


public String toString() { return myName; }


private static final String [] MONTHS = {"January", "February",
    "March", "April", "May", "June", "July", "August", "September",
    "October", "November", "December" }; //Month Array

private String myName; //Month Name
private int myNumber;  // Month Number
}