An African mask is described as "Jimminy"  Is there a djimine or other
African culture that would have a similar sound?

I believe 'Jimminy' is a variant of 'Djimini'. The Djimini are a
sub-group of the Senoufo group of Côte d'Ivoire, Mali, and Burkina
Faso. Alternate spellings include Jimini, Jinmini, and Dyimini.

Here you can find information about the Djimini people:

Wild West Africa Connection: Djimini of Côte d'Ivoire
http://www.wwac.org/djimini/

Ethnologue: SENOUFO, DJIMINI: a language of Côte d?Ivoire
http://www.ethnologue.com/show_language.asp?code=DYI

Here is an example of a Djimini mask:

Africa Club: Traditional African Art
http://www.africaclub.com/anti303i.htm

Google search strategy:

Google Web Search: djimini 
://www.google.com/search?hl=en&ie=UTF-8&q=djimini

I hope this is helpful. If anything is unclear or incomplete, please
request clarification; I'll be glad to offer further assistance before
you rate my answer.

Best regards,
pinkfreud

The researcher not only answered my question, but also gave me very
helpful supplemental information.