Ok first to include the wildcard just change the filter text from = to Like and add the * to the end. Then to have it automatically move to the resulting row you can filter the existing dataset instead of returning an array of Datarows as the result:
VB Code:
  1. Private Sub btnSearch_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles btnSearch.Click

  2.         'this assumes textbox1 is where the name is to search for

  3.         Dim filter As String = String.Format("Name Like '{0}*'", TextBox1.Text)

  4.         DataSet11.Tables("Bankruptcy").DefaultView.RowFilter = filter

  5.     End Sub
If later you need or want to remove the filter just assign it a blank string. That will return you to the full dataset of data.
VB Code:
  1. DataSet11.Tables("Bankruptcy").DefaultView.RowFilter = String.Empty