Hi Patricia,
There seems to be more than one Arthur Kaiser . SA BDM provides 2 marriages. If this is to the same Arthur , you might need to buy their marriage certificates. In Trove there are Arthurs who are painter, a fruiter and grocerer. An advertisement is in the paper saying that Arthur Edward Kaiser is not the son of Carl August Kaiser.
Advertising (1888, June 29). The Express and Telegraph (Adelaide, SA : 1867 - 1922), p. 2. Retrieved November 22, 2017, from http://nla.gov.au/nla.news-article207769330
Advertising (1899, June 29). The Express and Telegraph (Adelaide, SA : 1867 - 1922), p. 1 (ONE O'CLOCK EDITION.). Retrieved November 22, 2017, from http://nla.gov.au/nla.news-article209571299
co-respondent in a divorce (moved to Melbourne and Sydney)
GARDENER SEEKING DIVORCE. (1913, December 9). The Journal (Adelaide, SA : 1912 - 1923), p. 1 (4 P.M. EDITION). Retrieved November 22, 2017, from http://nla.gov.au/nla.news-article204653515
Divorce Rose Charlotte (had one child)
POLICE COURT—ADELAIDE. (1901, December 23). The Advertiser (Adelaide, SA : 1889 - 1931), p. 3. Retrieved November 22, 2017, from http://nla.gov.au/nla.news-article4881753
I was unable to locate his death as I was not sure of his parents, that is where the marriage certificate will be of value. If he is the black sheep there is a gaol photo together with his aliases.
Best of luck
Rionne