How to work with objects that are instantiated inside another object from a web form

This is probably a very simple question but I'm a little confused when it comes to working with an object created from a class that contains a field where the type is another class.  The part that confuses me is how to populate the field with data from the web form.  For eample, if I have a customer class that has a field called contact which is of type Contact, what is the proper way to populate this at the web form level?  At present I am doing it as follows and would like to know if this is correct.

This is the code from my customer class and contact is another class.

public class Customer
    {
        private string firstName;
        private string lastName'
        private string notes;
        private Contact contact;

        public Customer()
        {
            this.contact = new Contact();
        }

        public string FirstName
        {
            get { return firstName; }
            set { firstName = value; }
        }

        public string LastName
        {
            get { return lastName; }
            set { lastName = value; }
        }
        public string Notes
        {
            get { return notes; }
            set { notes = value; }
        }
        public Contact Contact
        {
            get { return contact; }
            set { contact = value; }
        }
    }

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Code from my form

private Customer customer;

public WebFormSample()
{
        customer = new AddressBook.Customer();
 }

protected void addButton_Click(object sender, EventArgs e)
{
         customer.FirstName = firstName.Text;
         customer.LastName = lastName.Text;
         customer.Contact.Phone = phone.Text;
         customer.Contact.Email = Email.Text;
}

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Is this the way I should be working with the contact object or should I instantiated a contact object on the web form, populate it and then assign it to contact in the customer object or have I got it completely wrong and this should be done in a completely different way?  Hope this makes sense.

Thanks