I went to Bedford Library this morning & tried to find Holwell PR transcriptions, the index card said Holwell was with the Shillington entries, but that mfght have meant Holwellbury hamlet ? As Holwell parish was transferred to Herts in 1897 then most likely the PRs were not transcribed by the Beds Record Office.
However from the Shillington PR
Woodfield
Baptism 5 Oct 1625 John son of Hugh Woodfeild
1 Feb 1628 James son of Hugh Woodfeild
Marriage 29 Oct 1617 Hugh Woodfeild to Thomansin Hoore
Burial 8 May 1632 Hugh Woodfield
Empey/Empie/Impie
Burial 3 July 1659 Thomas Empie son of Edward Impie
No mention of any Eaton name
Regards John