My understanding of datasets some days.... especially with compact framework

I get the XML with an inline schema (VFP8) from a webservice. This is done with ReadXml and I can use this in displaying textboxes and grid, but I fall short on understanding where one derives the table name in for example myDataSet.Tables[????] when it comes from a webservice. I am using myDataSetTables[0].DataView as DataSource for a DataGrid, but because I need this for DataGridColumnStyle MappingName I am at a loss.

Here's part of the code.

string xml = lu.ItemXML;

this.ds = new DataSet();

this.ds.ReadXml(new XmlTextReader(new StringReader(xml)), System.Data.XmlReadMode.ReadSchema);

this.dgItemListing.DataSource = this.ds.Tables[0].DefaultView;

Thanks
Jon