The family name Kjellman is not from only one family. A number of different families can be traced back to the 17'Th century. There are also a couple of families that got the name as soldiers at a later date. Today there are a couple of hundred people in Sweden with the family name Kjellman and about the same with the name Källman.
The family name Kjellman can be spelled in a number of ways. Today the spellings in use are Kjellman and Källman. A couple of centuries ago Kiellman, Kiällman and Tjällman were common spellings.
At the end of the 19'th century only two spellings can be found: Kjellman and Källman. In the year 1890 there are 320 families using the spelling Kjellman and 400 with the spelling Källman. At the end of the 20'th century there are 900 persons with the spelling Kjellman and 1500 with the spelling Källman in Sweden.
Of the two spellings the spellings the spelling Kjellman is more common in the south part of Sweden. Källman is more common in the north of Sweden.
The name can also be found in Norway and Finland.
When different Kjellmans left Sweden for America they often got an Americanized name like Chellman, Shellman or Chollman.