Throughout our own lives we are all called many names, properly or otherwise. John Lawrence Toole is of course just the same. However what is interesting to me is that his stage names changes. He seemed to be referred to a Johnny in Australia and New Zealand.
There are of course occasions for misspellings of his name. Sometimes Johnnny is spelled as "Johnnie." His middle name, Lawrence is sometimes misspelled as Laurence.
As to the proper form, his full name is John Lawrence William Toole. Though most commonly he is known as John Lawrence Toole, or simply J.L. Toole.