Q.Are there any ornamental Grasses that will grow on the North side of my house here in Southern Michigan?
If I can’t have Grass, would you include anything that would live in no direct sunshine. I don’t want anything that spreads out, or that grows over 2′-4′, There has been some kind of Ivy there for past 27years.. it’s getting old .

Certified GKH Gardening Expert
Your hardiness zone is 5, which means you need an ornamental grass that can tolerate extreme cold as well as shade. The article below gives you some options, including native plants that are naturally acclimated to the climate. Be aware that most grasses will increase in girth over time.
A row of Hydrangea arborescens, a variety that blooms on new wood and is cold tolerant to zone 3, would look fabulous.
https://www.gardeningknowhow.com/garden-how-to/gardening-by-zone/zone-5/zone-5-native-grasses.htm
https://www.gardeningknowhow.com/garden-how-to/gardening-by-zone/zone-5/zone-5-hydrangeas.htm