Companion plants for Trillium
Trillium blooms from April through May. It wants full shade and moderate water. The 8 companion pairings below each state why the pairing works.
Blooming before Trillium opens

Camellia
Takes part shade to full shade and moderate water; blooms in midwinter, before this one opens; evergreen, so the bed keeps its shape through winter; stands well above at 6.5 ft, a canopy to plant beneath; they only overlap in zones 7 to 8.

Snowdrop
Takes part shade to full shade and moderate water; blooms in late winter, before this one opens; lower at 5 in, for the front of the border; its white flowers settle the white.
Taking over as Trillium finishes

Northern Sea Oats
Takes part shade to full shade and moderate water; blooms in midsummer, extending the bed's season; its seed heads stand through winter, for structure and the birds; taller at 3.5 ft, for the layer behind it.

Rhododendron
Takes part shade to full shade and moderate water; overlaps, then carries the display into early summer; evergreen, so the bed keeps its shape through winter; taller at 6 ft, for the layer behind it.

Goatsbeard
Takes part shade to full shade and moderate water; blooms in early summer as this one finishes; taller at 4 ft, for the layer behind it; both are North American natives.

Meadow Rue
Takes part shade to full shade and moderate water; blooms in early summer as this one finishes; taller at 4 ft, for the layer behind it; a soft color beside the white.

Wishbone Flower
Takes part shade to full shade and moderate water; blooms in early summer as this one finishes; lower at 10 in, for the front of the border; a soft color beside the white.
Blooming alongside

Hellebore
Takes part shade to full shade and moderate water; opens in late winter and overlaps into this one's season; evergreen, so the bed keeps its shape through winter; a soft color beside the white.