I used to live on Glenburn Road, which appears to be related to Glenbourne. In this case, 'burn' is from the Old English born/burn meaning 'stream' or 'fountain'.
:-)
http://www.etymonline.com/index.php?term=burn
♦ Chrisell ♦
All we have to decide is what to do with the time that is given us. - J.R.R. Tolkien.