Explanation of universal model of energy flow
If you were to take a snapshot of the biomass present for a species at an instant of time, that would be its standing biomass. So, in a way you are correct with "the organisms not eaten up". But this can be quite misleading when used to attempt to explain pyramids of production up trophic levels. For example, in some aquatic ecosystems the standing biomass of primary consumers is greater than that of primary producers. On study in the English Channel showed 21 g/m3 of zooplankton but only 4 g/m3 of phytoplankton. This is due to the rapid proliferation of the phytoplankton and the rapid consumption by the zooplankton.

Typically it is preferable to describe the energy flow through ecosystems in terms of energy units, Joules for example. However, you could do this with biomass if you summed the biomass produced over time. When done like this, the English Channel example would look like a proper pyramid with the producers out-massing the consumers over a meaningful period of time.

Energy storage is simply the energy stored in the chemical bonds of the molecules created during growth that add to biomass. 

My example, and context, is from Biology, Campbell &amp; Reece, 7th edition.