My oldest living Allen cousin is close to 100. Her Grandfather was born about 1820. She is a She is a Great GReat Grandaughter of Archibald Allen the RW vet. The oral tradition of her family is that they were living in Holland at the time of the families immigration. That they boarded ship with a cart and oxen.
Holland was one of those places where the Quakers went to escape religiuos persecution. So; maybe there is some truth to your families rumours and my investigation.