This profile has been improved by a member of the England Project's "Orphan Trail".
Harry Kershaw was born in March, 1881 in Rochdale, Manchester, England  His parents were possibly George W. Kershaw and Jemima Kershaw.
Harry married Ethel Briggs in Chorlton, Lancashire, in the latter part of 1904. T 
In 1911 the family was living at 10 Sandywell Street, Higher Openshaw, Manchester. Harry was a salesman. They had three children, Harry (5), Ethel (3 ) and Edwin (4 months).
Emigration to the United States
Harry's sister Margaret Jane Willman and her family emigrated to the United States in April 1913. Harry was listed as a relative back in England, living at 66 Longridge St. in Longsight, Manchester. Harry followed in December 1913 on the 'SS Alaunia', leaving his wife and children in England..Ehtel sailed to the United States, with her three children, onboard the SS Carmania, leaving Liverpool on 14 April 1914.
He received his USA citizenship on Dec. 18, 1939 in Boston, MA.
In 1930, Ethel and Harry were living in Lynn, Essex, Massachusetts, USA, in the home of their son in law, Robert Leschke (b. Germany) and daughter Ethel. With them were sons Edwin. (age 20) and Robert H. (age 7. b. in Massassachussetts). Harry worked as a wood heeler in a shoe factory.
Ethel (Briggs) Kershaw passed away on 18 April 1935 in Lynn, Essex County, Massachusetts and is buried in Pine Grove Cemetery, Lynn. 
It appears that Harry remarried after Ethel's death as he appears on the 1940 Census married to Emma, (who previously lived at Haverhill Mass.) His son Robert H, age 17, was living with them, and working as a clerk in a retail grocery store.
Harry died in May 1940 and is buried at Pine Grove Cemetery in Lynn, Essex County, Massachusetts, USA.
Quite a few possible sources come up for his time in the USA, which are behind the Ancestry.com paywall. It would be wonderful if someone with access to those sources could complete this profile.
↑ Rochdale, Volume 8e, Page 78. March quarter 1881.
↑ 1881 England Census. Class: RG11; Piece: 3994; Folio: 35; Page: 13; GSU roll: 1341953: 1891 England Census. Class: RG12; Piece: 3282; Folio: 79; Page: 34; GSU roll: 6098392. 1901 England Census. Class: RG13; Piece: 3765; Folio: 138; Page: 24 This connection must be regarded as tentative as the birth index cited above does not reveal parent names.
↑ Chorlton, Volume 8c, Page 1412. December quarter, 1904).
↑ Unsourced data in orignal profile. This is plausible and confirmed in part by shipping manifest showing the arrival of Ethel Kershaw and her children, and by the US 1830 Census which gives an immigration date for Harry as 1913. Source needed.
↑ Shipping Manifest for SS Carmenia. Vol 360 for SS Carmania. FHC microfilm manifest # 1404341
↑ Based on unsourced original profile and unsourced tree. Insert reference here - original unsourced data. Source needed.
↑ "United States Census, 1930," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:XQL2-R33 : accessed 31 January 2018), Harry Kershaw in household of Robert Leschke, Lynn, Essex, Massachusetts, United States; citing enumeration district (ED) ED 135, sheet 12A, line 20, family 311, NARA microfilm publication T626 (Washington D.C.: National Archives and Records Administration, 2002), roll 899; FHL microfilm 2,340,634..