deleting names associated with connections to CSV files

Whenever I create data connections to CSV files, excel also inserts names (can see these if go to Formulas tab > Name Manager) for each range where the data was inserted. Is there a way to also delete these names with VBA? Right now I use this code, but it only cuts the connections and leaves the names intact.

Dim vConnection
For Each vConnection In ActiveWorkbook.Connections
    vConnection.Delete
Next vConnection

Thanks