June 1832
The Hall girls were ransomed at Black Hawk's camp for $2,000, paid in horses, etc.
The regionGrade A · 1 independent source
The evidence
“Black Hawk remained there in camp about two weeks, and during that time the Hall girls were ransomed for the sum of $2,000, paid in horses, etc. This was in June, 1832, and the tent poles, ashes and brands of the Indian camp fires were visible for a number of years after the settlement of Janesville. Mr.”
1908-brown-rock-county/26-history-of-janesville.md, Vol. 2, PDF p. 9 / book p. 524
Brown, William Fiske, editor. Rock County, Wisconsin: A New History of Its Cities, Villages, Towns, Citizens and Varied Interests, from the Earliest Times, Up to Date. Chicago: C. F. Cooper & Co., 1908. 2 vols. archive.org/details/rockcountywiscon01brow, archive.org/details/rockcountywiscon02brow.
Grade A: Found on a page of one of our sources