public static DataSet GetCustomerData(string dataSetName,
    string connectionString)
{
    DataSet dataSet = new DataSet(dataSetName);

    using (SqlConnection connection = new SqlConnection(connectionString))
    {
        SqlDataAdapter adapter = new SqlDataAdapter(
            "SELECT CustomerID, CompanyName, ContactName FROM dbo.Customers", connection);

        DataTableMapping mapping = adapter.TableMappings.Add("Table", "Customers");
        mapping.ColumnMappings.Add("CompanyName", "Name");
        mapping.ColumnMappings.Add("ContactName", "Contact");

        connection.Open();

        adapter.FillSchema(dataSet, SchemaType.Source, "Customers");
        adapter.Fill(dataSet);

        return dataSet;
    }
}

public static DataTable GetCustomerData(string dataSetName,
    string connectionString)
{
    DataTable table = new DataTable(dataSetName);

    using (SqlConnection connection = new SqlConnection(connectionString))
    {
        SqlDataAdapter adapter = new SqlDataAdapter(
            "SELECT CustomerID, CompanyName, ContactName FROM dbo.Customers", connection);

        DataTableMapping mapping = adapter.TableMappings.Add("Table", "Customers");
        mapping.ColumnMappings.Add("CompanyName", "Name");
        mapping.ColumnMappings.Add("ContactName", "Contact");

        connection.Open();

        adapter.FillSchema(table, SchemaType.Mapped);
        adapter.Fill(table);
        return table;
    }
}

public static DataSet GetCustomerData(string dataSetName,
    string connectionString)
{
    DataSet dataSet = new DataSet(dataSetName);

    using (SqlConnection connection = new SqlConnection(connectionString))
    {
        SqlDataAdapter adapter = new SqlDataAdapter(
            "SELECT CustomerID, CompanyName, ContactName FROM dbo.Customers", connection);

        DataTableMapping mapping = adapter.TableMappings.Add("Table", "Customers");
        mapping.ColumnMappings.Add("CompanyName", "Name");
        mapping.ColumnMappings.Add("ContactName", "Contact");

        connection.Open();

        adapter.FillSchema(dataSet, SchemaType.Mapped);
        adapter.Fill(dataSet);

        return dataSet;
    }
}