Cicada trail loop
may be サビムラサキホコリ.
Updated: Not eggs at all. Chocolate tube slime mold. (Love that name!)
Unknown brown eggs hanging by a filament. In the 2nd photo, they were positioned laterally.
I worked really hard to get a picture/ it was a small patch. I think this is really cool stuff- I didn't even see this at first because I was focused on a small lizard that was also on the log, but the lizard ran off and then I saw this. It's the second sighting of Chocolate tube slime mold I've had on the Cicada Trail, and I haven't seen it anywhere else yet.
under a log
This slime mold will develop further 'til it looks like a cluster of fuzzy brown cylinders attached to the wood by hair-thin stems.
Stemonitis is a distinctive genus of slime moulds found throughout the world (except Antarctica). They are characterised by the tall brown sporangia, supported on slender stalks, which grow in clusters on rotting wood. Identification within the genus is difficult, and can only be performed with confidence using a microscope.