XmlSerialize a custom collection with an Attribute

using System.Collections.ObjectModel;
using System.IO;
using System.Xml.Serialization;

namespace SerialiseCollection
{
    class Program
    {
        static void Main(string[] args)
        {
            var c = new MyCollection();
            c.Add("Hello");
            c.Add("Goodbye");

            var serializer = new XmlSerializer(typeof(MyCollection));
            using (var writer = new StreamWriter("test.xml"))
                serializer.Serialize(writer, c);
        }
    }

    [XmlRoot("MyCollection")]
    public class MyCollection : Collection<string>
    {
        [XmlAttribute()]
        public string MyAttribute { get; set; }

        public MyCollection()
        {
            this.MyAttribute = "SerializeThis";
        }
    }
}

<?xml version="1.0" encoding="utf-8"?>
<MyCollection xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xsd="http://www.w3.org/2001/XMLSchema">
    <string>Hello</string>
    <string>Goodbye</string>
</MyCollection>

<MyCollection MyAttribute="SerializeThis"
    xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema">
    <string>Hello</string>
    <string>Goodbye</string>
</MyCollection>

[Serializable]
public class MyCollectionWrapper {
    [XmlAttribute]
    public string SomeProp {get;set;} // custom props etc
    [XmlAttribute]
    public int SomeOtherProp {get;set;} // custom props etc
    public Collection<string> Items {get;set;} // the items
}

<MyCollection MyAttribute="SerializeThis"
  xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
  xmlns:xsd="http://www.w3.org/2001/XMLSchema">
  <Items>
    <string>Hello</string>
    <string>Goodbye</string>
  <Items>
</MyCollection>

<MyCollection MyAttribute="SerializeThis"
  xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
  xmlns:xsd="http://www.w3.org/2001/XMLSchema">
  <string>Hello</string>
  <string>Goodbye</string>
</MyCollection>