The record of his marriage to Rosetta lists his parents as Ezra and Keziah.
In 1850, James was a shoemaker, living with his wife Rosetta in the household of Thomas Perkins in Hanson, Plymouth County, Massachusetts. Also in the household is his brotherZacchaeus Lambert, 26, also a shoemaker.
Sources
"Massachusetts Marriages, 1695-1910," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:FHLT-791 : accessed 9 February 2016), Ezra Lambert in entry for James Lambert and Rozetta H. Sampson, 19 Dec 1847; citing reference 43; FHL microfilm 2,047,539.
"United States Census, 1850," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:MD9Q-6ZP : accessed 9 February 2016), James Lamburt in household of Thomas Perkins, Hanson, Plymouth, Massachusetts, United States; citing family 138, NARA microfilm publication M432 (Washington, D.C.: National Archives and Records Administration, n.d.).
"Massachusetts Marriages, 1841-1915," database with images, FamilySearch (https://familysearch.org/ark:/61903/1:1:NW5X-4VC : accessed 9 February 2016), James M. Lambert and Ann C. Rogers, 30 Aug 1854; citing 264, Marshfield, Massachusetts, State Archives, Boston; FHL microfilm 1,432,880.