Name varients include:
Cheseholme, Chisholm, Chisholme Cheishame, Cheishelm, Cheisholme, Chesame, Chesehelme, Cheseholm, Cheseim, Cheshelm, Cheshelme, Chesholm, Chesholme, Cheshom, Chesim, Chesolm, Chesolme, Chesom, Chesome, Chessam, Chessame, Chesseholme, Chisholm, Chisholme, Chism, Chisolm, Chisolme, Chisomme, Chissem, Chissim, Chissolme, Schisholme, Schishome, Schisolme , Schisome, Sheshelm, Shisholme

The surname Fenton is said to be a sept of Clan Chisholm. I can not find out the reasons for this.