Hello David Norris-Hill,
RadTimeline for Silverlight does not support vertical orientation out of the box. Probably, you could create your custom panel that arranges the items vertically and substitute the original panel in the template of the control. However, I can see in your screenshot, that you need an additional control linked to every event that contains details about the event, position left or right of the timeline. This is not supported as well and I expect this would not be an easy task, especially if you expect these controls to be ordered in such a way so that they do no overlap.
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