@kctipton You're correct. This post and nearly all the comments are mis-using the term. Most likely, the term 'memory' was used in numerous pop-sci articles about this (as well as the abomindably awful Radiolab) as a rhetorical shortcut, and not meant literally by any actual scientists. But most of the general public does not know better, and will take it literally.

There's no plausible mechanism by which 'memory' could be heritable. It's more likely due to epigenetics.