This can be done using JavaScript also, add a CSS class to the column where you want to put the tooltip. Then in JavaScript add the title attribute.
Following is the example:
<asp:GridView ID="GridView1" runat="server">
<Columns>
<asp:BoundField DataField="DIAGNOSIS_CODE" HeaderText="Diagnosis Code"/>
<asp:ButtonField DataTextField="DIAGNOSIS_NAME" HeaderText="Diagnosis Name"
ControlStyle-CssClass="DiagButton" />
<asp:BoundField DataField="ICD_CODE" HeaderText="ICD Code"/>
<asp:BoundField DataField="ICD_NAME" HeaderText="ICD Name" />
</Columns>
</asp:GridView>
JavaScript
$(document).ready(function () {
$(".DiagButton").attr("title", "Click to Edit Diagnosis Name");
});
This will add the title Attribute to the column which has the class .DiagButton