Captain and Governor William Daniel Tucker came to Jamestown on the second ship to reach the settlement in 1608. He had married Elizabeth Mansfield in 1597 in Milton, Kent, England. Their first four children were born in Milton: William in 1598, Henry in 1600, Daniel in 1602, and Alice in 1606. The place of birth for Arthur, born in 1608, could be either England or America. Alice is listed as coming to America with Capt. Arthur Allen, who would become her husband.
Tucker stayed in Jamestown until 1613 when he returned to England. He was appointed as the second governor of Bermuda, he arrived in May of 1616 on the ship the George  and served in that position until 1619. He went back to Virginia, but returned to Bermuda where he died in 1625.
His home in Bermuda was called "The Grange", at the Overplus in Southampton.1618.
Hopefully with further research the dates and places in the lists below will tighten-up and have more of an explanation.
Source S-2069555669, Repository #R-899753595, Virginia Census, 1607-1890, Jackson, Ron V., Accelerated Indexing Systems, comp.,Online publication - Provo, UT, USA, Ancestry.com Operations Inc, 1999. Data Compiled and digitized by Mr. Jackson and AIS from microfilmed schedules of the U.S. Federal Decennial Census, territorial/state censuses, and/or census substitutes. APID: 3578::0, No REPO record found with id R-899753595.
Source S-2084837787, Repository: #R-899753595, Passenger and Immigration Lists Index, 1500s-1900s, Gale Research, Online publication - Provo, UT, USA, Ancestry.com Operations Inc, 2009. Data, Filby, P. William, ed.. Passenger and Immigration Lists Index, 1500s-1900s. Farmington Hills, MI, USA, Gale Research, 2009. Filby, P. William, ed.. APID: 7486::0.
Source S-899753593, Repository: #R-899753595, Ancestry Family Trees, Online publication - Provo, UT, USA, The Generations Network. Data, Family Tree files submitted by Ancestry members. This information comes from 1 or more individual Ancestry Family Tree files. This source citation points you to a current version of those files. The owners of these tree files may have removed or changed information since this source citation was created.
Source: S-1409805996 Ancestry Family Trees Online publication - Provo, UT, USA, Ancestry.com. Data Family Tree files submitted by Ancestry members. Repository: #R-1575024304, #N3291 Data Changed, 25 NOV 2013 Time: 12:20:22, Ancestry Family Trees 
Repository: R-1575024304 Ancestry.com, #N3289, No record found with id N3289. No record found with id N3291.
It may be possible to confirm family relationships with Daniel by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
Y-chromosome DNA test-takers in his direct paternal line on WikiTree: