You plant looks like a hybrid of the xdigweedii type. That's a cross od C. americanum and scabrum. The cross has been market under some spurious names such as C. fimbriatum or C.submersum, and two popular named cultivars are 'Royal White' and 'Stars and Stripes'.
They are sometimes called "Nassau Lilies" in general and can vary a lot, with the pink stripe being present in various shades and intensities. Most are on the pale side. Yours might be a deeper tone if it is grown in more light.
In the ground, you can expect good blooming annually and in 20 years, your clump would be HUGE. They are hardy in 7b and I have 'Royal White' in the ground in clayey loam, in nearly full sun. They might be evergreen there, since it takes a hard frost to knock them back. I give them some leaf mulch here over the winter since we have killing frosts and short periods of hard freezes.
Crinums are so tough that you can move them any time if you have to, as long as the soil is workable, and that seems to be year-round there. For better growth, give your plant more light and feed regularly-- they are hungry feeders. You might add some humus to your soil if it is very sandy, and give them lots of water.
You really should be seeing multiple scapes each season and plenty of offsets on short stolons, in the ground anyway.
R.
