This appears to be called the Woodman in the 1851 census.
Little Berkhamsted pub history index
Directory of Pubs in the UK, historical public houses, Taverns, Inns, Beer Houses and Hotels in Hertfordshire .
Residents at this address
The Woodman :
1851/William Brooks/Publican/64/Little Berkhamstead, Hertfordshire/Census
1851/Sarah Brooks/Wife/63/Hawell, Hertfordshire/Census
1851/William Brooks/Son, Ag Labourer/29/Little Berkhamstead, Hertfordshire/Census
1861/William Brooks/Publican/38/Little Berkhamstead, Hertfordshire/Census
1861/Sarah Brooks/Mother, Widow/72/Amwell, Hertfordshire/Census
1866/William Brooks/Beer Retailer/../../Post Office Directory
1871/William Brooks/Beer House Keeper/47/Little Berkhamstead,
Hertfordshire/Census
1871/Sarah Brooks/Mother, Widow/83/Little Amwell, Hertfordshire/Census
1881/John Peek Phipp/Beer House Keeper/59/Waterford, Hertford/Census
1881/Susan Phipp/Wife/49/Richmond, Surrey/Census
1881/Mary Ann Saddler/Visitor/14/Hertford/Census
1882/John Peck Phipps/Beer Retailer/../../Post Office Directory
1890/George Abrams/Beer Retailer/../../Post Office Directory
1891/George Abrams/Beer House Keeper/49/Camberwell, Surrey/Census
1891/Emma Abrams/Wife/41/Walworth, Surrey/Census
1891/Daniel Proctor/Brother, Agricultural Labourer/70/Long Marston,
Bucks/Census
1891/Eliza Proctor/Wife/66/Sutton, Surrey/Census
1891/Willia Morgan/Lodger, Gardener/35/Chislett, Herts/Census
** Provided By Stephen Harris