Hi Cindy,

Here are a few possible groundcovers. You did not specify if this was for sun or shade

Gaultheria procumbens  Creeping wintergreen - 6" needs an acidic soil good for slopes  creeping evergreen woody groundcover  - flowers spring pink  reddish fall color

Parthenocissus quinquefolia  Virginia creeper -vining groundcover moist sun or shade areas- brilliant red fall foliage 
very aggressive- 

Mitchella repens Partridge-berry bloom time spring and summer with white flowers in dry or moist woods - Ornamental evergreen foliage, with red berries; requires acidic soils.
Excellent groundcover beneath shrubs.

Potentilla simplex Common cinquefoil blooms in spring with yellow flowers Does well on dry, infertile soils. Low and spreading with palmately compound leaves up to 2.5" tall

Asarum canadense  Wild ginger - soil pH 6.8-7.4 neutral to calcareous soils  Spreads into attractive groundcover; aromatic rhizomes

Information taken from The Native Plants of Ohio Bulletin 865

Thank you for contacting OSU Extension.

Clover does not do as well in shade as some of the other ground cover species listed above.  Another possibility for you to consider would be a violet.  It has purple flowers in spring and is compatible with trees if the location is damp but not wet.