Here's a good link to see what the skull of the babirussa looks like:

http://www.skullsunlimited.com/Suidae.htm

It's the third photograph down and it's clear that those upper tusks would be more than adequate to hook onto a bough for secure napping. In fact, I imagine sometimes those upper tusks are hard to disentangle from knotty boughs.

More exciting news to appear here in the next few days. Stay tuned for the warthog (picture above the baby).

WordWart