Hi Cliff,
In both of the linked pages, the links in the top center are shown because "Show Child Pages Site Map" is enabled in the page settings for the page (gear icon in top right takes you to page settigns for the current page). So if you don;t want that on the second page, then you can uncheck it in page settings.
As for the position of the child pages site map in relation to content on the page its because the ChildPageMenu control is physically above the ContentPlaceHolder for the center content in the layout.master file of your skin. It looks like this:
<portal:ChildPageMenu id="ChildPageMenu" runat="server" CssClass="txtnormal"></portal:ChildPageMenu>
<asp:ContentPlaceHolder ID="mainContent" runat="server"></asp:ContentPlaceHolder>
To put the menu below the content just swap it like this:
<asp:ContentPlaceHolder ID="mainContent" runat="server"></asp:ContentPlaceHolder>
<portal:ChildPageMenu id="ChildPageMenu" runat="server" CssClass="txtnormal"></portal:ChildPageMenu>
Note however that will affect all pages where you use Child Pages Site Map.
I see you are using the styleshout-techmania skin, be sure and rename it so your customizations won't be lost during upgrades if a new version of styleshout-techmania comes with the upgrade.. To do this switch to a different skin temporarily, then rename the styleshout-techmania folder then switch back to it using the new name.
Hope it helps,
Joe