I went ahead and looked up each species the USDA's website as well as looking a bit closer at Michigan Flora, to look at establishment/distribution/etc. Let me know if there's any other information that would be helpful and please let me know if there are any errors! Common names can add in a whole other layer of confusion and uncertainty, so I tried to look for versions common in cultivation under these names.
Chinese Forget-me-not (Cynoglossum amabile)--Has established in a few states, including Wisconsin.
Wallflower, Siberian (Cheiranthus allionii)--Not established in the United States
California Orange Poppy (Eschscholzia californica)--Listed by the USDA as native to Houghton County, presumably as a mistake. Native to the western US.
Purple Coneflower (Echinacea purpurea)--Most likely both native and non-native verieties to various areas of Michigan, though multiple species go under the same name.
Single Mix China Aster (Callistephus chinensis)--Rarely escaped in Michigan, but naturalized in a few states in the Northeast.
Corn Poppy (Papaver rhoeas)--Commonly escaped throughout the United States and southern Canada.
Lance Leaved Coreopsis (Coreopsis lanceolata)--Also, it seems, can be called "sand coreopsis", though common names introduce some uncertainty. Sand coreposis is native to northern and western Michigan in dry, sandy areas.
Blue Flax (Linum perenne)-- Linum lewisii also goes by this name. L. perenne is escaped in many areas in Michigan, while L. lewisii is not listed as in the US.
Baby Blue Eyes (Nemophila menziesii)--Native along the western coast of the US, not found in Michigan.
Globe Gilia (Gilia capitata)-- Native west of here and possibly south, but not found in Michigan.
Indian Blanket (Gaillardia pulchella )--Listed as native by some sources, but not by others. Appearing wildly throughout the US.
Tidy - Tips (Layia platyglossa)--Native far west of Michigan, not known to be found in the great lakes.
Plains Coreopsis (Coreopsis tinctoria)--Native west of here, but planted commonly. Locally escaped.
Tall White Sweet Alyssum (Lobularia maritima)--Sporadically found throughout Michigan, where it has escaped from plantings. Listed in many areas as invasive.
Lavender Hyssop (Agastache foeniculum)--Native west of here, but spread into the Upper Peninsula.
Daisy Fleabane (Erigeron strigosus)--Native throughout almost all of Michigan.
Forget-Me-Not (Myosotis sp.)--There are some native forget-me-nots in the area, but the more common "garden" verities are non-native and can become weedy.
New England Aster (Symphyotrichum novae-angliae)--Native and common throughout Michigan.
Bergamot (Monarda sp.)--Two species of Monarda sp. are found in Michigan, both of which are native. Monarda fistulsa is commonly sold as "wild bergamot", and is native throughout the state.