eliot wrote: No, context menus do not work either. Hotkey for marking the complete uri would help, if you want to copy it anywhere else.
If I'm not mistaken from what others have said, all you need to do is right click in the URL field and then it should be possible to "Copy" the URL (which is automatically all selected and copied) then you just need to "Paste" it wherever you want it to be. This functionality has always (AFAIK) been in OWB anyway, so if it's not working there either then something is probably wrong with your MUI/Ambient settings.
If you have no context menus then maybe you have not got the option in MUI Settings>Menus>Appearance of "Like System Menus" or "Like popup menus" &/or the "Enable embedded menu bar" options selected, or some other option in Ambient enabled as I cannot understand you not having any right-mouse-button context menus functioning at all - if I understand your issue correctly..
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