Ms. Brianne Kelly posted this useful information on the Rootsweb Morris County list:

Here is some information about the State Census that New
Jersey performed every ten years, in between the Federal
Census, beginning in 1855.

1855: Incomplete records exist for Atlantic, Bergen, Camden,
Cumberland, Essex (including present day Union), Gloucester,
Hunterdon, Hudson, Monmouth, MORRIS, Passaic, Somerset,
Sussex and Warren counties. Information on the census: Name
(usually only head of household); number of adults
subdivided by nativity (native-born or foreign-born), race
(colored or white), and sex; and number of children aged 5
to 16 in each household, subdivided by race and gender.

1865: Incomplete records exist for Atlantic, Bergen,
Burlington, Camden, Cumberland, Essex, Gloucester, Hudson,
Hunterdon, Middlesex, Monmouth, Passaic, Salem, Sussex and
Union.
Information on the census: Name (all members of the
household), sex, whether native or foreign-born, whether
colored or white, and whether school-aged (5 to 16 years)

1875: Incomplete records exist only for two counties, Essex
and Sussex.
Information on the census: Name (all members of the
household), age, sex, native- or foreign-born, color,
birthplace of individual and parents, and occupation

1885: Complete for the state.
Information on the census: Name, sex, race, age in
categories of under 5, 5-20, 20-60, and over 60, and native-
or foreign-born (Irish, German, and other).

1895: Complete for the state.
Information on the census: Name, sex, race, age in
categories of under 5, 5-20, 20-60, and over 60, and native-
or foreign-born (Irish, German, and other).

1905: Complete for the state.
Information on the census: Name, color, sex, month and year
of birth, marital status, birthplace, parents' birthplace,
number of years in US, citizenship status, occupation,
literate or fluent in English, home owned or rented.

1915: Complete for the state.
Information on the census: Name, color, sex, month and year
of birth, marital status, birthplace, parents' birthplace,
number of years in US, citizenship status, occupation,
literate or fluent in English, home owned or rented.

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