More on the value of a BSc

A while ago while cleaning out a store room for the EAS department, I came across a couple of interesting fossils. They are not slab and counter-slab but they are nearly identical. Initially, I thought that it was a part of a plant, but having shown it to several profess in paleobotany who couldn't identify it, I'm now open to suggestions. I don't think that it's a spong because it doesn't have spicules, and I don't think that its any part of a vertebrate. Unfortunately, there is no locality or age information for these fossils. Below are a couple of photos.
The offending specimen:



Zoomed in to show detail: