I've owned and bought and sold a lot of bikes, but I don't know of any way to run such a search for a state like Connecticut that doesn't even title old bikes.
My head gets dizzy reading about DLVAs and SORNs and MOTs and all the alphabet soup of record keeping that you guys have. As far as I know, our states don't have any sort of databases for old bikes; the State Police could probably access some paper files if information was needed for a criminal case of some kind, but for you and me, just interested in a bike's history? I wouldn't know how to go about it ... Sorry!