Minerva lived in Noble Township, Rush County, Indiana according to the 1860 census Her mother was not mentioned in that census and her grandfather Nathaniel Moore was living with them.
Based on the fact that Minerva and Roland C Haven married in that same County I assume this 11 year old child is the same Minerva. This is the only link found to her family. Her grandfather led to the other ancestors in this branch through findagrave.com
[S2] Familysearch.
"Indiana, Marriages, 1811-1959," index and images, FamilySearch (https://familysearch.org/pal:/MM9.1.1/XXFZ-VXQ : accessed 19 May 2013), Roland C Havens and Minerva Moore, 1869.