If they’re not too busy, I might can.

source: 
Feagin
Entry: 
735
Example: 
If they’re not too busy, I might can.
Modal 1: 
might
Modal 2: 
can
Gender: 
Female
Race/Ethnicity: 
White
Age: 
30s
Level of Education: 
Unknown
Home Community, Town, or State: 
AL (Unknown)
Year: 
early 1970s
Relation to Addressee: 
acquaintance
Medium: 
Spoken
Sentence Structure: 
1.2
Status: 
Naturalistic