How can I use DataTextField on an element that is not a ListControl?

Question

So here's my situation: I have a DropDownList that I populate when a certain event is triggered. To populate it, I execute a SQL query that returns two columns: ID and Name. I bind the Name to the DropDownList using DataSource/DataTextField/DataValueField, but I want to save the ID as well (to use in a second query). How can I do this?

I have tried saving the ID to a hidden input field, because I want to use it but not display it to the user. But input is not a ListControl, so it doesn't work. How do I get the matching ID of the Name selected in the DropDownList?

    string strConn = ConfigurationManager.ConnectionStrings["ConnectionStringName"].ConnectionString;
    SqlConnection con = new SqlConnection(strConn);
    SqlCommand cmd = new SqlCommand();
    cmd.Connection = con;
    cmd.CommandType = CommandType.Text;
    cmd.CommandText = "SELECT Id, Name FROM Users WHERE Age > 10";

    DataSet objDs = new DataSet();
    SqlDataAdapter dAdapter = new SqlDataAdapter();
    dAdapter.SelectCommand = cmd;
    con.Open();
    dAdapter.Fill(objDs);
    con.Close();
    if (objDs.Tables[0].Rows.Count > 0)
    {
        NameDropDown.DataSource = objDs.Tables[0];
        NameDropDown.DataTextField = "Name";
        NameDropDown.DataValueField = "Name";
        NameDropDown.DataBind();
        NameDropDown.Items.Insert(0, "--Select--");
    }
    else
    {
        NameDropDown.Items.Clear();
        NameDropDown.Items.Insert(0, "No names found");
    }

Answer 1

Consider:

if (objDs.Tables[0].Rows.Count > 0)
{
    NameDropDown.DataSource = objDs.Tables[0];
    NameDropDown.DataTextField = "Name";
    NameDropDown.DataValueField = "ID"; /*why wouldn't this be ID*/
    NameDropDown.DataBind();
    NameDropDown.Items.Insert(0, "--Select--");