Jane's birth as calculated using her age listed in her obituary would be 14 Aug 1829. The St. George's Church Register lists her christening as 13 September 1829. Jane's actual age was originally difficult to track because her birthdate is listed as ~1831 from the 1850 census, ~1833 from the 1860 census, ~1834 from the 1870 census. Jane's birth gives a preliminary date for the immigration of at least Elizabeth and the children, if not John.

Jane was the second wife of Peter Ackerman, taking his two sons into her care as well as raising her own daughter.
Jane died in 1871 and in 1880, Mary, her daughter with Peter Ackerman, was living with Elizabeth Hindle, the elder.
©2012 Original Narrative of Nancy Ratay

1850 New Jersey, Passaic County, Paterson, page 212, film M432-461 (taken 19 July 1850)
dwelling 245, family 338
Gilbert Elliot, head of household
Elizabeth Hindle, age 48, female, born England
Elizabeth L------, age 22, female, born England
Jane---------------, age 19, female, born England
John H.---------- , age 17, male, cabinetmaker, born New Jersey
Ann---------------, age 11, female, born New Jersey
Salina-------------, age 8, female, born New Jersey
James A.---------, age 6, male, born New Jersey

1860 New Jersey, Passaic County, West Paterson City, page 18, film M653-706 (taken 22 Jun 1860)
dwelling 111, family 144
Peter Ackerman, age 38, shoe dealer, personal $200, born New Jersey
Jane--------------, age 27, born England
William----------, age 11, born New Jersey
Walter-----------, age 8, born New Jersey
Mary------------, age 2, born New Jersey
Elizabeth Indell, age 29, born England [sister of Jane]

1870 New Jersey, Passaic County, 6th Ward Paterson, page 101, stamped page 591, film M593-885 (taken 14 July 1870)
dwelling 509, family 820
Hindle, Elizabeth, age 68, female, keeps house, personal $100, born England, parents foreign born
Ackerman, Jane, age 36, female, cotton mill, born England, parents foreign born
------------, Mary E., age 12, female, school, born New Jersey, mother foreign born
page 102
Westervelt, Selina, age 28, female, cotton mill, born New Jersey, parents foreign born
------------, Kate, age 6, female, school, born New Jersey
Orr, Annie, age 34, female, flax mill, born Scotland, parents foreign born
family 821
Calvin, Josiah, age 47, male, cabinet making, personal worth $100, born Connecticut, father foreign born
--------, Mary, age 45, female, keeps house, born England, parents foreign born
--------, Olive, age 82, female, at home, born Connecticut

------------------------deceased

Daily Guardian, 26 June 1871
Deaths
Ackerman - In this city, on Saturday, June 24th, 1871, Jane Ackerman, aged 40 years, 10 months and 10 days.
The relatives and friends of the family are respectfully invited to attend the funeral on Tuesday Afternoon, June 27th, from the residence of her mother, Elizabeth Hindle, No. 23 Van Houten street at 1 1/2 o’clock and 2 o’clock from St. Paul’s Church.
Those desirous of viewing the remains will have an opportunity on Tuesday, between the hours of 11 and 1 o’clock.

Paterson Daily Press, 24 June 1871
Sudden Death
Mrs. Jane Ackerman, widow of the late Peter W. Ackerman, and sister of Mr. John H. Hindle, died suddenly on Saturday night, shortly before eleven o’clock. She has been unwell for a year past, with a sort of bronchial affection, but on Saturday seems no worse than usual, and retired about ten o’clock, after spending the evening in cheerful converse with her sister and other members of the family. Soon after, her sister, who was upstairs, heard her calling, and going down found Jane walking the floor, with a kind of froth issuing from her mouth, while she exclaimed, “What agony I’m in,” repeatedly. Dr. Blundell was sent for, but by the time he arrived (within three-quarters of an hour after the first alarm,) she was dead. He gave it as his opinion that death resulted from a complication of bronchial and heart disease. Coroner Butterworth being notified, gave the usual burial permit, on the authority of the physician’s certificate. Deceased was forty years of age.

Deaths
Ackerman - In this city, on Saturday, June 24th, 1871, Jane Ackerman, aged 40 years, 10 months and 10 days.
The relatives and friends of the family are respectfully invited to attend the funeral on Tuesday afternoon, June 27th, from the residence of her mother, Elizabeth Hindle, No. 23 Van Houten street at 1 1/2 o’clock and 2 o’clock from St. Paul’s church. Those desirous of viewing the remains will have an opportunity on Tuesday, between the hours of 11 and 1 o’clock.