Finchingfield is in Braintree area. Here are all the Davey from Braintree 1861:
DAVEY AGNES S 3 1113 115 WTF
DAVEY ALFRED 4 1115 157 WNY
DAVEY ANN 65 1114 132 STS
DAVEY ARTHUR 1 1114 113 STS
DAVEY BETSY 5 1115 140 BNY
DAVEY CATHERINE 34 1114 129 STS
DAVEY CATHERINE 27 1113 115 WTF
DAVEY CATHERINE A 5 1113 115 WTF
DAVEY CHARLES 3 1114 113 STS
DAVEY CHRISTOPHER 44 1113 78 WTF
DAVEY EDWARD 56 1114 23 BCK
DAVEY EDWARD 9 1113 141 GSL
DAVEY EDWARD WILLIAM 6M 1113 115 WTF
DAVEY ELIZABETH22 1114 132 STS
DAVEY ELIZABETH7 1114 113 STS
DAVEY EMMA 13 1113 116 WTF
DAVEY EMMA 13 1113 141 GSL
DAVEY ESTHER 11 1115 157 WNY
DAVEY GEORGE 25 1114 132 STS
DAVEY GEORGE 16 1115 140 BNY
DAVEY GEORGE 12 1114 113 STS
DAVEY HANNAH 42 1113 141 GSL
DAVEY HENRY 17 1113 141 GSL
DAVEY JAMES 38 1114 113 STS
DAVEY JOHN 40 1114 129 STS
DAVEY JOHN 11 1115 140 BNY
DAVEY JOSEPH 19 1113 116 WTF
DAVEY JULIA M A 20 1114 23 BCK
DAVEY MARIA 21 1115 62 BRT
DAVEY MARTHA 50 1115 157 WNY
DAVEY MARY 39 1114 113 STS
DAVEY MARY A 16 1113 116 WTF
DAVEY MARY ANN 50 1115 140 BNY
DAVEY MARY ANN 15 1113 141 GSL
DAVEY PHOEBE 4 1114 129 STS
DAVEY RACHEL 42 1114 106 BCK
DAVEY REBECCA 24 1113 116 WTF
DAVEY ROBERT 29 1113 115 WTF
DAVEY ROBERT 6 1113 116 WTF
DAVEY ROBERT 5 1113 141 GSL
DAVEY ROBERT T 2 1113 115 WTF
DAVEY SAMUEL 48 1115 157 WNY
DAVEY SAMUEL 40 1115 139 BNY
DAVEY SARAH 31 1114 132 STS
DAVEY SARAH 15 1114 115 STS
DAVEY SARAH A 48 1113 78 WTF
DAVEY SARAH A 1 1115 157 WNY
DAVEY SUSANNAH19 1113 141 GSL
DAVEY THOMAS 28 1115 165 RYN
DAVEY WILLIAM 64 1114 132 STS
DAVEY WILLIAM 27 1114 132 STS
DAVEY WILLIAM 9 1114 113 STS
DAVEY WILLIAM 8 1115 140 BNY
DAVEY WILLIAM 4 1114 106 BCK
DAVIE ELIZABETH72 1114 15 BCK
DAVIE MARY A 37 1114 15 BCK
DAVIES SARAH 25 1113 87 WTF
Sorry, I haven't got Braintree 1851 index, but it is available on disk or fiche from Essex Family History Society:
http://www.esfh.org.ukBraintree - Black Notley; Bocking; Bradwell, Coggeshall; Braintree; Cressing; Finchingfield; Gt Saling; Rayne; Shalford; Sisted; Wethersfield; White Notley; ESFH 60154 £3.00 £3.30 £3.40
Also check member's interests as there are many Davey in Essex.
Geoff.