Sorry, I didn't complete my post below before clicking the send button.
Here is a completed version

I have a business object with two public properties - "OrganizationID" and
"OrganizationName".  Pretty typical.  We will call it Organization.

And I have a collection object which is an arraylist that stores a
collection of the business object described above.  Let's call it
Organizations

I have a lstbox control.  So I bind it Organizations to the listbox control.

lstSelectedOrgs.DataSource = null;
lstSelectedOrgs.ValueMember = "OrganizationID";
lstSelectedOrgs.DisplayMember = "OrganizationName";
lstSelectedOrgs.DataSource = Organizations;

I initially populate the control.  Then I have a way to remove an item.  And
then I bind it again.

At some point, all of a sudden, what shows up in the list box looks like
this.

MyNameSpace.Organization
MyNameSpace.Organization
MyNameSpace.Organization
MyNameSpace.Organization
MyNameSpace.Organization

And the number of the items shown in the control matches what I have inside
the collection.  Then when I click on one of the items, it crashes.

Any ideas?