Populate DataListBox with Recorset [VB6]

Given a form [Form1] with a DataListBox [dlBox] and a Recordset containing a list of names [oRecs].

I am trying to display the list of Names in the Recordset in the DataListBox.
Currently my code is:
Set dlCust.DataSource = oRecs
dlCust.ListField = oRecs(0).Name
However this provides me with an empty DataListBox.

Any clues as to what I am doing wrong?
This is how I populate my DataComboboxes which works fine.

Or using a normal ListBox (I think this is better, DataListBoxes don't seem to support Multiple Select [which is something I really need]).

Code:
Set lbCust.DataSource = oRecs

That isn't enough, the ListBox (lbCust) stays empty