Henry Baker born South Petherton 25th May 1838 to Joseph Baker and Betsey nee Pitman. Grandson of William Pitman and Mary nee Raison.

Henry remained in England with his family until he was about 21 years old. He then migrated to America.

Thanks to a biographical sketch found on the internet, I was able to find information on Henry Baker in America.

Henry Baker arrived in New York, America on 11 June 1855 at the age of 21 years. He left London on the ship “G B Lamar”.

He remained in Illinois until his death in 1914. Henry died Macoupin County, Illinois in February 1914.

He married Emma Lockyer nee Barnstable. They lived in Macoupin County, Illinois.
Emma Barnstable was born about 1826 in Middlezoy, Somerset, England, and died January 1883 in Illinois, USA. She had previously been married to Richard Lockyer on 24th April 1844 in Middlezoy, Somerset, England. He was born 1820.
Emma’s daughter from her marriage to Richard, Mary, married William Heal in USA after 1872.

Henry Baker married Emma Lockyer nee Barnstable on 17th December 1857 (LDS source) and they had:-
William J. Baker born September 1860 in Woodburn, Macoupin County, Illinois. William J. married Minnie L. Wildman (daughter of John Wildman and Narcissa nee Barnett, born at Shipman, Illinois), on 10th June 1884 at Shipman, Macoupin, Illinois, and they had Henry I (or T) Baker born about 1890 and Hazel T. Baker born about 1894 .

(John Wildman, born about 1824 and Narcissa.Barnett, born about 1833 (John and Narcissa married 15th December 1851 at Macoupin County)

Henry Baker is buried at Woodburn cemetery. Emma Baker nee Barnstable is also buried there. She died in 1885.

William J. Baker died 1909. Minnie died 1926. Henry L. died 1920. They are all buried at Woodburn cemetery, Macoupin.
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1860 Illinois census has Henry as a 22 year old farmer in Macoupin County.

In 1870 USA census for Brighton, Macoupin County Henry Baker was a 33 year old farmer of real estate worth 4,200 US dollars. He was living with wife, Emma age 42, step daughter, Mary age 17, and son William age 9.

1910 USA census shows Minnie Baker born abt 1865 in Illinois, living at Bunker Hill, Macoupin County, Illinois, as the head of the house. She was living with a Hazel (not sure if daughter or not).
Our Henry Baker born abt 1838 in England was living at Brighton, Macoupin County.

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This is a copy of a Biographical Sketch of Henry Baker:-
In the following copy of the Biographical Sketch of Henry Baker there are some mistakes found throughout mention of Henry’s family history such as dates, names and spelling of places.

PORTRAIT AND BIOGRAPHICAL RECORD
MACOUPIN COUNTY ILLINOIS - 1891
Chicago: Biographical Publishing Company
Page 885
HENRY BAKER is one of the leading and most successful English-American farmers and stock raisers of Brighton Township, where he owns a very beautiful farm of one hundred and sixty acres, all of which is highly improved, and where he has a beautiful residence that is conspicuous for its completeness of finish and detail. There are also fine barns and outbuildings, which have been erected by himself, for this has been his home since 1860. he has besides some good land in Bunker Hill Township. Mr. Baker's advent to this county was made in 1856. He lived for one year in Chesterfield Township and three years in Woodburn, and then came into Brighton Township and purchased the place where he now resides. he came from England to this country in 1855.
Mr. Baker was born in Somersetshire, England, at South Pethering, May 27, 1839. He comes of good English family of pure stock. His father was Joseph Baker, a native of Somersetshire, and our subject's grandparents were natives of the same shire, being farmers, and there spending all their lives. His grandfather died when a very old man, upwards of four-score years. our subject's grandmother was in her maiden days Miss Mary Pittman, a daughter of William Pittman, an English farmer, who lived and died in his native shire. He was a carpenter by trade, and having been four times married outlived all his wives.
Mrs. Baker, mother of our subject, survived her husband Joseph Baker, and died a very old lady. our subject is the youngest of the family born to his parents and one of three to emigrate to this country. His brother John is now in Texas and a sister, who is Mrs. Job Keirl, lives in Bunker Hill Township. The original of our sketch grew up in his native shire, and there received a good English education, after which he learned the baker's trade and worked at it until he came to this country, being eighteen years of age when he made the momentous decision to leave his home. He left Liverpool on a steamer, and landing at New York City, came thence to Illinois and immediately proceeded to Chesterfield Township, Macoupin County.
In 1875 Mr. Baker returned to his old home in England and there enjoyed a delightful visit of six months' duration with the friends and relatives of his childhood. His marriage took place in Macoupin County and his bride was Mrs. Emma Lockyer, nee Barnstable. She was born in Somersetshire, England, about 1826. Her parents lived and died in their native land, where our subject's wife was first married to Richard Lockgar, after which they at once came to the United States and located in Woodburn, this county, and there was born one child, a daughter, who is now Mrs. William heal, of whom a fuller sketch may be found in her biography in another portion of this RECORD. Mr. Lockyer died in the prime of life, and some time after the death of her first husband she was untied to our subject, and she was to him a dutiful and loving wife. Her decease occurred at their home in this township January 27, 1835. She was well and favorably known here, and those who knew her the best were assured of her nobility of character. Mr. and Mrs. Baker were the parents of one son, William J.
William J. Baker took to wife Miss Minnie Wayman, of this county. They now live in Chesterfield Township, and are there prominent agriculturists. Mr. Baker is a prominent member of the Congregational Church of Woodburn, this State, as was his wife during her lifetime. Our subject has been one of the Trustees for many years. A Republican in politics, the original of our sketch is not in any sense an office-seeker.
[NOTE: Emma Lockyer‘s husband name is given in one place as Lockyer and in another as Lockgar. Also, her death date (obviously an error) is given as January 27, 1835 in the above bio.]