BindData.cs

public class Settings
{
	private bool showid = true;
	public bool showID
	{
		get
		{
			return showid;
		}
		set
		{
			showid = value;
		}
	}
}

public class Form1
{
	private CheckBox ShowID;
	public Form1()
	{
		Settings mySettings = new Settings();
		this.ShowID.DataBindings.Add("Checked", mySettings, "showID");
		this.ShowID.DataBindings[0].DataSourceUpdateMode = DataSourceUpdateMode.OnPropertyChanged;
	}
}