Hi
I'm not sure that this will be any help but here goes. I have an ancestor Susan Brown born 1798 in Wooburn who married in May 1818 Langley Marish to a Joseph Lunnon born 1799, presumably Wooburn as their twins were born there in Oct 1818. Joseph died in Dec 1818 in Wooburn & Susan went on to marry a George Beesley in 1823.
I believe Joseph was a son of Joseph & Rachel Lunnon who had a number of children in Wooburn including an Elizabeth born 1812. Elizabeth has an illegitimate daughter Sarah in 1830 with the father named as Henry Courtney, they don't appear to have married but there is a marriage for Elizabeth Lunnon to a James Holley in 1832. In the 1841 census, Piece54/Folio14/Page20 Wooburn is an Elizabeth Holley with children Sarah aged 10 & Edward aged 1 living next door to my Susan Beesley ex Lunnon nee Brown, no sign of James. I haven't been able to find Elizabeth Holley & her children in 1851 but there is a very similar family unit in your Elizabeth Lunnon with Sarah & Edward.
Strange thing is there is a burial record for Elizabeth Holley in Wooburn June 1858 aged 48.
I'm puzzled by James Holley as to who he was or what happened to him but one of the witnesses at his marriage to Elizabeth was a Lucy Holley. Unfortunately none of this really helps with your Edward as there doesn't appear to be any record of a birth or baptism for him anywhere.!!
Regards
Maddie