There is a fair amount of evidence indicating both genetic and epigenetic contributions to obesity.
http://www.ncbi.nlm.nih.gov/pubmed/12574619
http://www.ncbi.nlm.nih.gov/pubmed?cmd=Search&db=pubmed&...
http://www.ncbi.nlm.nih.gov/pubmed?term=obesity%20epigenetic...
http://www.ncbi.nlm.nih.gov/pubmed?term=obesity%20genetics