This cache is not at the posted coordinates, and neither location is the Ingham River. Okay, you got me. There is no Ingham river in Michigan. (Or anywhere that I found.)
Ingham county is a county located in the U.S. state of Michigan. The county seat is Mason. Lansing, the state capital of Michigan, is largely located within the county. Lansing is the only state capital in the United States located in a county of which it is not also the seat of government.
The Grand River winds northward along the western boundary of the county and the Red Cedar River flows west across the northern section into the Grand River in Lansing. Most of the midsection of the county drains to the north into the Red Cedar River and the northern tier of townships drain to the south into the Cedar. The Sycamore Creek, flowing northwest into the Red Cedar in Lansing, drains much of the midsection of the county. Most of the southern portion of the county drains south or west into the Grand River. The southeastern corner drains to the southeast into the Huron River via the Portage Creek and Portage River and a series of small lakes.
To find the cache, start at the posted coordinates. Walk east until you reach the barrier. I was about 15 paces, your results may vary. Count your paces. Then turn to your left, and go twice the number of paces you did from starting. The final container will be at that location.
The cache hide is pretty much exactly what you'd expect for the location you will arrive at.