Answer: Numerous plants will grow in wet conditions in your location. There are a number of bog species such as the perennials: umbrella plant (Cyperus alternifolius), papyrus (Cyperus papyrus), horsetail (Equisetum hyemale) (can be invasive if not contained), Louisiana iris (numerous varieties), Crinum lillies (Crinum spp.), Cannas (Canna spp.), violet stemmed taro (Colocasia esculenta), Texas Star Hibiscus (Hibiscus coccineus), daylillies (Hemerocallis spp.), and spider lily (Hymenocallis liriosme).
Shrubs include southern waxmyrtle (Myrica cerifera) (can grow a bit large although dwarf forms are available), common buttonbush (Cephalanthus occidentalis) (also a large shrub), and Virginia sweetspire (Itea virginica).
If you can't alleviate the cause of the excessive moisture, another approach is to build a raised bed. This will increase the options for plant material for that location.
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