There's a complete .wav file of Homer & Jethro singing this song at this Tribute to Homer & Jethro site. However, the title is spelled "Cigareets, Whuskey, and Wild, Wild, Women." It has been recorded under that and other variant spellings, e.g. (according to AMG – The All-Music Guide):

Cigareetes, Whiskey and Wild Wild Women
Cigareetes, Whusky and Wild Wimmen
Cigareets Whuskey and Wild Wild Women
Cigareets, Whusky and Wild, Wild Women
Cigarettes, Whiskey & Wild, Wild Women
Cigarettes, Whisky & Wild, Wild Women
Cigarettes, Whisky and Wild Women
Cigerettes, Whusky, & Wild Wild Women

p.s. the owner of the above tribute site has not only H&J but several other artists that might be of interest to Mudcatters, such as Patsy Cline and Hank Williams.