This APress article seems like it should provide you with the start you are
looking for:
http://tinyurl.com/5tkd5s

Here is a simpler version too:
http://tinyurl.com/5dug22

I figured it out. It turned out to be really simple. Code below
for anyone interested.

SPSite siteCollection = SPContext.Current.Site;
SPList ReportLibrary =
siteCollection.AllWebs["/ReportCenter"].Lists["My Reports"];
int items = ReportLibrary.Items.Count;
DropDownList ddlReports = new DropDownList();
ddlReports.ID = "ddlReports";

for (int i = 0; i < items; i++)
{
ddlReports.Items.Add(ReportLibrary.Items[i].DisplayName.ToString());
}
this.Controls.Add(ddlReports);

I highly recommend that you use foreach rather a for index when iterating
collections in SharePoint. In a for index loop, every request results in a call
to the database to retrieve that one listitem, whereas in a foreach loop, the
first request causes the API to retrieve the listitems into memory with a single
database call and each iteration simply retrieves the next listitem from that
cache.

So, this code:
for (int i = 0; i < items; i++)
{
ddlReports.Items.Add(ReportLibrary.Items[i].DisplayName.ToString());
}

would look like this:
foreach (SPListItem item in ReportLibrary.Items)
{
ddlReports.Items.Add(item.DisplayName.ToString());
}

I typically even go a step further:
SPListItemCollection items = ReportLibrary.Items;
foreach (SPListItem item in items)
{
ddlReports.Items.Add(item.DisplayName.ToString());
}

IMO, foreach is also more readable.

Finally, be aware that if anyone changes the display name for the "My Reports"
library, the code will break. It is better to either: 1) iterate the collection
of lists to find the one you are looking for with a break when it is encountered
OR 2) use a try catch block (bad WSS API, I know) to retrieve the list  or exit
the code block.