Sunday April 3rd was census "night" in 1881 so he might have been in transit to embarkation or had Bristol left by then- which seems to be the case for a transatlantic journey.

First name(s) Samuel
Arrival port New York
Last name Horrobin
Arrival date 12-Apr-1881
Sex Male
State New York
Age 48
Country United States
Birth year 1833
Source dataset New York Passenger Lists & Arrivals
Origin country England
Year 1881
Record set British & Irish Roots Collection
Ship departure port Bristol
Category Travel & migration
Destination country United States
Subcategory Migration
Arrival year 1881
Collections from Americas, Great Britain, Ireland, United States

Not unheard of for Foresters to end up in a Bristol hospital - The Royal Infirmary - for treatment.

1871 CoalWay Lane End

Samuel Harrobin Head - Male 40 1831 Coal miner Coalway Lane End, Gloucestershire, England
Edith Harrobin Daughter - Female 15 1856 - West Dean, Gloucestershire, England
Alice Harrobin Daughter - Female 4 1867 Scholar West Dean, Gloucestershire, England
Tom Lewis Step-son - Male 10 1861 Coal miner West Dean, Gloucestershire, England