Name of “Jennie Rae” (nee Goodman) from the Will of her mother’s brother, William Oliver, an image of which was received from Katia, wife of Tim Grant Oliver, in an email dated 30 September 2022.
Tim Oliver is a x3 great grandson of James and Ruth Oliver, his grandfather being Ivor James Clark Oliver 1907-1989.

Katia, wife of Tim Grant Oliver, in an email dated 19 December 2022 writes, "The Will [of Jennie’s grandfather William Oliver] looks like it says that Ann was in England and Mary was in the USA. Henry and Mary's daughter's name Jane Lean "Jennie" Rea [Rae] matches with the will. Jennie was born in Ohio".

Confirmed that Jennie was indeed born in the USA, second given name, date and place of death, from the West Virginia Deaths Index found in February 2023:
Detail Source
Name: Jennie Lynn Rea
Death Date: 26 Sep 1925
Death Place: Wood, West Virginia
Father Name: Henry Goodman
Mother Name: Mary Oliver
FHL Film Number: 1953239

Date of birth, place of burial, photo of headstone, given names of husband, from Find a Grave found in February 2023:
https://www.findagrave.com/memorial/29087406/jennie-l-rea
Name: Jennie L Rea
Birth Date: 20 Jul 1851
Death Date: 26 Sep 1925
Cemetery: Riverview Cemetery
Burial or Cremation Place: Williamstown, Wood County, West Virginia, United States of America
Spouse: William Henry Rea

Place of birth, date and place of marriage, from research file59 in February 2023.

Name of son found in State of Ohio Washington County marriage records in February 2023:
Mr William H Rea Jnr and Miss Roberta J Smith
GROOM
His age: 29, March 9 1901
Residence: Mariette, Ohio
Place of Birth: Newalls Run, Ohio
Occupation: Groceryman
Father's name: William H Rea Sr
Mother's name: Jennie L Goodman
BRIDE
Her age 31, September 17th 1900
Residence: Mariette, Ohio
Place of Birth: Lower Newport, Ohio
Occupation: None
Father's name: John Smith
Mother's name: Emma J Gregg
Solemnized in marriage 31st day of July 1901

Formal name of “Jane” from the 1860 Federal Census of Free Inhabitants in Independence Township, Washington County, Ohio USA enumerated on 6th day of August 1860, found in February 2023:
Henry Goodman, 56, Male, Farmer, Real Estate value $1,000, Personal Effect value $300, Born England, [Born circa 1804]
Mary Goodman, 49, Female, Born England [Born circa 1811]
John H Goodman, 16, Born England, [Born circa 1844]
Sarah J Goodman, 14, Born Ohio, [Born circa 1846],
William Goodman, 12, Born Ohio, [Born circa 1848],
Jane L Goodman, 9 Born Ohio [Born circa 1851]
Elizabeth Goodman, 6, Born Ohio, [Born circa 1854]