This section is from the book "An Illustrated Flora Of The Northern United States, Canada And The British Possessions Vol2", by Nathaniel Lord Britton, Addison Brown. Also available from Amazon: An Illustrated Flora of the Northern United States, Canada and the British Possessions. 3 Volume Set..
Perennial, erect, 4'-12' high, leafy at the base. Leaves linear, terete, ą-2 long, about 1" wide, the base broadened and prolonged posteriorly; scape-like peduncles 1-5, terminal, branched, leafless, slender, bracted at the nodes, 3'-6' long; cymes terminal, loose, the branches ascending or divaricate; flowers pink, 6"-8" broad, opening for a day; sepals membranous, deciduous, ovate, obtuse, 2" long, about half the length of the petals; stamens 10-30; style as long as the stamens; stigma-lobes very short; capsule globose, 2" in diameter; bracts of the cyme ovate or ovate-lanceolate, 1" long, prolonged posteriorly.
Perennial or perhaps biennial, though first described as annual, the root deep, the slender scape-like peduncles 10' high or less. Leaves basal, linear, terete, 1'-2' long; cymes and petals like those of T. teretifolium, the pink flowers 6"-8" wide, opening late in the afternoon; sepals deciduous; stamens 12-25, the red filaments very slender, the anthers short, nearly spherical; lobes of the stigma nearly linear, one-fourth to one-third as long as the style; capsule globose, about 2" in diameter; seeds faintly roughened, but scarcely rougher than those of T. teretifolium.
Talinum parviflorum Nutt; T. & G. Fl. N. A. 1: 197. 1838.
Perennial, similar to the preceding species, leafy below. Leaves terete or nearly so, linear, rather more slender, broadened at the base; scape-like peduncles very slender, 3'-8' tall; cymes loose, their branches and pedicels ascending; flowers pink, 4"-5" broad; sepals ovate, deciduous, acute or subacute; stamens 5 (or sometimes fewer?); style somewhat longer than the stamens; capsule oval, 2" high, about 1" in diameter; bracts of the cyme narrowly lanceolate, slightly prolonged posteriorly.
In dry soil, Minnesota to Missouri, South Dakota, Colorado, New Mexico and Texas. May-Sept.
Talinum calycinum Engelm. in Wisliz. Rep. 88. 1848.
Perennial, erect from a very thick root, slender, 6'-10' high. Leaves nearly terete, clustered at the base, 1 1/2'-2' long, the base triangular-broadened, slightly prolonged posteriorly; cyme terminal, somewhat compound, scarious-bracted, its branches ascending; flowers pink, 10"-15" broad; sepals broadly ovate, persistent, cuspidate; petals twice as long as the calyx; stamens 12-30; style about twice as long as the stamens; capsule globose-ovoid, about 3" in diameter.
In dry soil, western Missouri, Nebraska and Kansas to Texas. Rock-pink. June.