We've been over some of this ground before. To shorten the process this time, last time around we found:
John Parratt came to Virginia in 1623 on the Providence as a servant of Daniel Gookins. John was age 36 in 1624/5.
http://www.packrat-pro.com/ships/providence.htm
He must have gained means to later bring over servants of his own.
JOHN PARROTT, 750 acres lying northerly upon the river of Nansemund, and westerly upon a great bay running for Paroketo point. Due for the transportation of nine persons whose names appear below. By West, May 24th, 1635. John Parrott, Priscilla [sic] Parrott his wife, John Bodin, James Traneere [sic], John Morgan, Thomas Banton, Georg [sic] Clarke, Georg [sic] Heele, Thomas Cottle.
Capt. John West to JOHN PARROTT, 450 acres, May 29, 1635, North upon Nansemond River. For trans, of himself and Prunella [sic], his wife, John Bodin, James Traverse, John Morgan, Tho. Banton, Georg [sic] Clarke, George Heele, Thomas Cottle.
In other words, by 1635 John Parrott could afford to pay ship's passage to Virginia for these people (who would have been his indentured servants) and he received land in return (a "headright"). By Virginia standards this was a fairly modest effort, putting him among the middle class but not the gentry.
There might be some room to doubt that these two Johns were the same man, except for the significant point that the man who received the grants in 1635 received them in the same settlement (Nansemond River) as Daniel Gookins, the man who brought John Parrott to Virginia in 1623.
I've said before that the origin Daniel Gookins might provide a clue to the origin of this John Parratt. Gookins came from Ripple in Kent, to co. Cork in Ireland, to Virginia, and back to Cork.