C# – How to bind dataGridView predefined columns with columns from sql statement (without adding new columns)

Is there a elegant way, to bind predefined dataGridView columns with results from a SQL statement?

Example:

dataGridView1.Columns.Add("EID", "ID");
dataGridView1.Columns.Add("FName", "FirstName");

Some SQL like

SELECT t.FirstName AS FName, t.EmpID AS EID 
FROM table t ...

and then I call

 dataGridView1.DataSource = someDataSet.Tables[0].DefaultView;

The last call add columns to my datagrid but I just want to bind it by column name not to add new columns.

The example will give a result like this:

Table columns: ID, FirstName, FName, EID (ID and FirstName holds empty cells)

How to get this:

Table columns: ID, FirstName or FirstName, ID

Best regards!