C# – How to bind list to dataGridView

I seem to be running around in circles and have been doing so in the last hours.

I want to populate a datagridview from an array of strings. I've read its not possible directly, and that I need to create a custom type that holds the string as a public property. So I made a class:

public class FileName
    {
        private string _value;

        public FileName(string pValue)
        {
            _value = pValue;
        }

        public string Value
        {
            get 
            {
                return _value;
            }
            set { _value = value; }
        }
    }

this is the container class, and it simply has a property with the value of the string. All I want now is that string to appear in the datagridview, when I bind its datasource to a List.

Also I have this method, BindGrid() which I want to fill the datagridview with. Here it is:

    private void BindGrid()
    {
        gvFilesOnServer.AutoGenerateColumns = false;

        //create the column programatically
        DataGridViewTextBoxColumn colFileName = new DataGridViewTextBoxColumn();
        DataGridViewCell cell = new DataGridViewTextBoxCell();
        colFileName.CellTemplate = cell; colFileName.Name = "Value";
        colFileName.HeaderText = "File Name";
        colFileName.ValueType = typeof(FileName);

        //add the column to the datagridview
        gvFilesOnServer.Columns.Add(colFileName);

        //fill the string array
        string[] filelist = GetFileListOnWebServer();

        //try making a List<FileName> from that array
        List<FileName> filenamesList = new List<FileName>(filelist.Length);
        for (int i = 0; i < filelist.Length; i++)
        {
            filenamesList.Add(new FileName(filelist[i].ToString()));
        }

        //try making a bindingsource
        BindingSource bs = new BindingSource();
        bs.DataSource = typeof(FileName);
        foreach (FileName fn in filenamesList)
        {
            bs.Add(fn);
        }
        gvFilesOnServer.DataSource = bs;
    }

Finally, the problem: the string array fills ok, the list is created ok, but I get an empty column in the datagridview. I also tried datasource= list<> directly, instead of = bindingsource, still nothing.

I would really appreciate an advice, this has been driving me crazy.