Perhaps it is a Toad Lily. Botanical name: Tricyrtis hirta, formosana, or hybrids. It matches your description pretty well: lily-like foliage, shade-loving, blooms early to mid-Fall, about 2 feet tall, tiny orchid-like flowers. Not all varieties have flowers that look exactly like the picture, but it should give you a decent representation of what the flowers look like.

This post was edited by mistascott on Tue, Dec 11, 12 at 16:40

Nun's Orchid can survive in Southernmost MS, and your plant
may have succumbed to a colder than average Winter. This is why
it's oh so important to list your growing zone (if known) or at least
the nearest large city to aid identifications.

Here is a link that might be useful: Phaius tankervilliae

The weedy orchid Epipactis helleborine is coming up all over and being asked about repeatedly.

Nun's Orchid blooms in late Winter/early Spring (not Fall as OP described), including flower stalks it is 3-5 feet tall (not 2 feet tall as the OP described), nor are the flowers small as the OP described.

Epipactis helleborine is a possibility; it blooms Summer into Fall but its range has not yet included the Gulf Coast states. I do not know if this is because it isn't suited to the climate or it just hasn't invaded yet.

This post was edited by mistascott on Tue, Dec 11, 12 at 13:49

It is so sad that Helleborine is a nuisance for you. It is becoming ever rarer here in its native habitat. I get very excited when I see one.

While I generally agree it's unlikely to be Phaius, I don't think
it's accurate to say it must be that large. Many plants reach
only a fraction of the heights/dimensions listed in texts. Also
one man's Orchid/Lily may turn out to be another's Canna!

This post was edited by saltcedar on Tue, Dec 11, 12 at 14:17

Zingiberaceae

Globba

Kaempferia

Roscoea

Here is a link that might be useful: Globba