Dr Thomas Eyre immigrated from England to Virginia USA before 1621.

Thomas (Eires) left a will ..
My beloved wife Susanna Eires extrx. To my eldest son John Eires when 18 my house and plantation, and a breeding sowe which I bought of Stephen Costen. To my son Thomas 2 cows. To my son Daniel 2 cows. To my friend Stephen Costen all my common wearing clothes and my great gun. Witt: Thomas Harmar, Stephen Costen

Note that in the Sewell Family History on webpage http://colehour.com/sewell/fam00252.htm, Dr Eyre is shown as being born in the UK.
Similarly at http://www.espl.org/mearscol/pagendxe/eyre/d11265.htm.

However the Ghotes page at http://www.esva.net/ghotes/staton/i0000310.htm show him as born in the USA

Source : http://www.esva.net/ghotes/staton/i0000310.htm