Further analysis indicates this is the likely family:
Thomas Basket b.ca1790 SC m.unk b.ca1790 GA, 5 children:
--1.unknown daughter b.ca1812 (from 1830 census below)
--2.William Baskett b.1820 TN d.1896 King Co WA m.ca1841 Shannon Co MO to Mary Turpin b.1821 Independence Co AR d.1896 King Co WA.(+descendants). In 1880 census Carroll, Texas Co MO, William reports his parents b.SC, GA (ca1790+/- per census data)
--3.unknown daughter b.ca1822 (from 1840 census below)
--4.Thomas Baskett b.1828 MO d.1865 Confederate in CW m.1849 Washington Co MO Harriet Yount (+descendants)
--5.Rebecca Baskett b.1832 MO (she is w/ Tom & Harriet in 1850 census Shannon Co MO; no other data yet)
SUPPORT FOR Thomas Basket as father above:
--1828 Gasconade Co MO tax list: Thomas Basket & neighbors John Turpin, Josiah Turpin “came 1813”
--1830 Gasconade Co MO census: Thomas Basket: 1 m:0-5, 1 m:5-9, 1 m:30-39; 1 f:15-20, 1 f:30-40; total: 5.
--1840 Ripley Co MO census: Thomas Basket: 1 m:10-15, 1 m:50-60; 1 f:5-10, 1 f:15-20, 1 f:40-50; total: 5.