I do not see enough information on your ancestors to help you trace your line at this point, but I may be able to help given more information about your grandfather and great-grandfather. Usually, if no family record has been kept, one must trace back to the mid-nineteenth century to verify a connection.Send me an email with dates and places of births, deaths, and marriages if you know them.If you think you have a trace farther back in time, let me know what it is.I will do my best to help, but there are no guarantees with genealogy.
I once met John Jr. in the parking lot at the Cincinnati Zoo back in the mid-1970s.Our families were both returning to our cars, and I was intrigued by the Kansas Legislature decal on his car's rear window that identified him as John Vermillion, Jr., so I introduced myself and we talked briefly.
The crest you found is one that was distributed as a sales item by a now-defunct company that once sold such genealogical items from the 1960s through the mid-1980s.The authenticity of the crest is highly questionable, but many of us in the family have a copy of it.There is a second coat of arms that features a large red bull standing on its hind legs against a bright yellow background.It was supposed to have been the Vermillion "battle coat-of-arms." Neither is verifiable.
By the way, I noted your middle name and thought you would be interested to know my first name is Douglas.
Doug Vermillion Contact me at firstname.lastname@example.org