Hi Carol
I have looked with no success, including Hugh Wallis site with middle names, I suspect the best idea would be to either visit or enlist help to look at St Osyth parish church for baptism records circa 1800, they are lodged in Chelmsford. St Osyth church is St Peter and St Paul and the fiche coveres the date in question
I wish I could be of more help but I have had no success so far, don't give up, someone might ome up with something
Just as a matter of interest I put in Carrington as a christian name in freebmd.rootsweb and there were quite a few that came up, one marriage in 1841 didn't have a cross reference, it took place in Billericay reg dist, also a death in Sept 1851 Tendring, could this have been his father' death, no age shown?, I have a feeling Tendring covers St Osyth, just a thought
regards
Louisa Maud