How to add Items like attribute of ListBox to a custom control?

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C#

WinForms

I want to add a custom attribute to a custom button control like Items attribute of ListBox Control so that user can add item to custom button control using designer editor.

public List<string> LstOfValues = new List<string>();

        [DesignerSerializationVisibility(DesignerSerializationVisibility.Visible)]
        public List<string> Items
        {
            get { return LstOfValues; }
            set {
                LstOfValues.Clear();
                foreach (string s in value)
                {
                    LstOfValues.Add(s);
                }
            }
        }

i have added above code to my custom button control and an attribute named Items added to property window but when i want to add any item to this using design editor i have got an error saying "Constructor on type 'System.String' not found".

thanks in advance