Wrist watches didn't become popular until around 1916!
The Mayflower, for which the ship of the Pilgrims is named, is Epigaea repens. It is better known as Trailing Arbutus. It is a trailing evergreen belonging to the Heath Family with a white flower with a pink center.
The Pilgrims did not celebrate the religious holidays that we celebrate today. Like the English and Scottish Puritans, they held that customs taken from folklore and non-Christian writings were contrary to the spirit of Christianity.