In the USA the National Science Foundation has been running a series of public service announcements to highlight scientific progress that has been funded by YOU, the taxpayer. This alone raises many issues, but let me ignore them and focus on a single ad I have heard 2-3 times.
Basically, the ad says that grandparents can pass characteristics on to their grandchildren through means that are NOT contained in the genes of the intermediate generation. IOW, there is extra-genetic "memory".
Sorry for the lack of a cite. I will listen more closely next time I hear the advert and try to find some relevant (read, better) information.