In 1832 Samuel Bryan of Marion County Indiana applied for a Revolutionary War pension. He had
[Luke Bryan submitted the following with his mother’s application for a pension, and he deposed that
it was written by his father, Samuel Bryan.]
My great grandfather Bryan was a Dane born in Denmark & rais’d in that Kingdom where he married a wife & lived
untillhe had a soneborn whomehe called Morgan after which he remov’d to Ireland where he lived untillsaid Morgan came to manhood who left his father in Ireland & came to Pensylvania in Amerricia where he Married a woman by the name of Martha Strode the daughter of a man by the name of Strode a Hollander who had moved to France where he residedwith his wife untillhe had three children, he & his wife being protestants, in time of a great persecution fled for their lives, bound for Pensylvania in Amerricia but himself & wife sickened on the seas & died before they arrived to the end of their voige....
William Smith Bryan is an interesting character. He is first written about in a book published in 1876 called The Pioneer Families of Missouri, written by William Smith Bryan, his descendant.  Mr. Bryan wrote that his ancestor landed in Virginia
This Francis was unsuccessful in his attempt to regain the old family land and for whatever reason
On page 132 of the Pioneers of Missouri, a second
By 1915 the story had changed
In a 1917 publication
Another book published in 1922 was a history of the Boone Family. This book gives two versions of the story of Morgan Bryan. In the first, Morgan grew to manhood in Ireland and then left for America, settling in Pennsylvania where he married Martha Stroud.  The second version is the William Smith deported version but has Francis returning for his land in 1650. Again Francis goes to Denmark where son Morgan is born. Morgan of the battle of the Boyne comes to Pennsylvania in 1695. Francis died in Belfast in 1694. The author says
A 1962 article in the Virginia Magazine perpetuates the story of Francis Bryan returning to Ireland to reclaim the family estates. His son Morgan, then living in poverty, sailed, possible under indenture to Pennsylvania. 
In 1965, in the National Genealogical Society Quarterly, Volume 53, it is Francis that is the standard bearer for William of Orange in 1690.
Skip forward a few decades to the age of the internet. In 2011
Sir William Smith BRYAN, 8th Great-Grandfather. PMC" Prince William of Ireland", Deported in 1650, to Gloucester Beach, Virginia as a "Rebellious Subject." Marriage 1: Countess Of Ormond Catherine MORGAN,
b: 1594 in ,Claire, Ireland.
in ,Claire, Ireland.
Note: In 1650, William Smith Bryan, the Grandson of Sir Francis Bryan, declared himself Heir-to-the-Throne Of Ireland, and fought against Cromwell, from the back of a White horse. Defeated by sheer numbers of the Puritan army,So in about 150 years William Smith Bryan has gone from a Danish man to 1615 Irish rebel to a full on pretender to the throne, a knight no less, seated on a white horse, battling the forces of evil Cromwell.
Bryan was deportedto the Colony of Virginia in America, together with "twenty- one sonsand grandsons." Declares himself Heir to the Throne of Ireland.
William Smith O'Brien
So where did this William Smith Bryan stuff come from and is any of it real, or is William a mythical fantasy
Doesn't that sound familiar? A son of a Lord, Irish rebel, deported, spent time in a European country before he eventually returning home to Ireland. William Smith Bryan and William Smith O'Brien. I believe
More Research on William Smith Bryan
 William Smith Bryan, Pioneer Families of Missouri, (St. Louis, MO
 Bryan, Pioneer Families,
 Bryan, Pioneer Families, 132.
 J. W. Shearer, The Shearer Akers Family, (Sommerville, N
 J. W. Shearer, The Shearer Akers Family, 11.
 George Norbury Mackenzie, Colonial Families of the United States, (Grafton Press, 1917) digital images, Google Books.
 Zella Armstrong, Notable Southern Families, (Chattanooga, Tennessee; The Lookout Publishing Co., 1922) 33, digital images, Google Books, (https://www.books.google.com
 Zella Armstrong, Notable Southern Families, 33.
(Buffalo, New York: Tuttle Co., 1922) 505-506, digital images, Google Books, (
 Charles W. Bryan, "Morgan Bryan; Pioneer of the Opequon and Yadkin," The Virginia Magazine of History and Biography, Vol. 70. no. 2 (April 1962) 154-164, digital images, JSTOR