Many historical and genealogical writings offer information on Richard Warren and Elizabeth Walker (my 10th great grandparents).  Richard sailed on the Mayflower in 1620.  He came to the new world alone making sure that things would be satisfactory for the rest of his family. So, YES, my 10th great grandfather was on the original journey of the Mayflower.

https://en.wikipedia.org/wiki/Richard_Warren “At the time of the Mayflower’s voyage in 1620, Richard and his wife had five daughters: Mary (my 9th grandmother), Ann, Sarah, Elizabeth and Abigail. But Richard came on the Mayflower alone, deciding to wait until conditions in the New World were satisfactory before bringing over his family.” 

Elizabeth, (my 10th great grandmother) then arrived in the new world in 1623 and is described here: http://www-personal.umich.edu/~bobwolfe/gen/mn/m2332x2333.htm

“Elizabeth Walker followed husband Richard to Plymouth, Massachusetts, in the Anne in 1623, accompanied by their daughters: Mary, Elizabeth, Ann, Sarah, and Abigail. Early Plymouth records suggest that Elizabeth was a woman of force and social position in the community. She was rated in the Plymouth tax list of 1632-3, and was one of the first purchasers of Dartmouth. She is usually spoken of as Mistress Elizabeth Warren, a designation by no means common, and she is one of the rare instances in that early colony of continued widowhood.

“Mistris Elizabeth Warren an aged widdow aged above 90 yeares Deceased on the [twenty-] second of October 1673 whoe haveing lived a Godly life Cam to her Grave as a shoke of Corn fully ripe shee was honoralby buried on the 24th of October aforsaid.” “Plymouth Colony vital records,”

Richard only lived until the age of 49 and died in 1628. The quote http://www-personal.umich.edu/~bobwolfe/gen/mn/m2332x2333.htm here is from Nathaniel Morton’s 1669 book New England’s Memorial:  “This year [1628] died Mr. Richard Warren, who was an useful instrument and during his life bare a deep share in the difficulties and troubles of the first settlement of the Plantation of New Plymouth.”