What I have is based on the 1860 & 1870 census, which agrees with what Nancy has.
1860 Limestone Co, TX census
Page 34
Precinct 5
P. O. Personville(?)
Enumerated 13th Jul 1860
259/228:
W Sims 38 M Farmer $1000/$3700 SC [1822; Wiley Wilson Sims; 1515]
L 48 F AL [1812; Luvinia (Reddoch) Reddock; 14 Jun 1817]
S J 16 F AL attended school w/in the year [1844; Sarah Jane 15 Sep 1842]
J S 13 M AL attended school w/in the year [1847; John Stephen 11 Jun 1845]
W L 12 M AL attended school w/in the year [1848; William Leander 1 Dec 1847]
Wiley 11 M AL attended schooll w/in the year [1849; Wiley Wilson (Bunk) 2 Jan 1850]
Melvina 8 F AL attended school w/in the year [1852]
J C 4 M TX [1856; James Clayton (Bony) 8 Apr 1856]
unnamed 3/12 M TX [Apr 1860; Elihua Jackson (Jack)]
Luvinia's husband, Wiley Wilson, is deceased 11 Aug 1866 per the Lost Prarie Cemetery listing. I've never been to the cemetery, so can only hope the listing is completely accurate with no typos.
1870 Limestone Co, TX census finds the widowed Lavinia:
District 48 West Texas
Page 189
P. O. Eutaw
Enumerated 1 June 1870
1306/1442:
Simms Luvna 55 F W Keeping house $320/$320 AL [1815; widowed Luvinia Reddock Sims 14 Jun 1817]
Sarah J 23 F W at home AL [1847; Sarah Jane 15 Sep 1842]
Wm L 21 M W Laborer AL [1849; William Leander 1 Dec 1847]
Jas C 13 M W TX [1857; James Clayton 8 Apr 1856]
Elihu J 9 M W TX [1861; Elihua Jackson; the unnamed baby boy from the previous census]
--/1443 (in same household):
Simms Jno 22 M W Plinter? $400/$150 AL [1848; John Stephen 11 Jun 1845]
Amanda 22 F W Keeping house TX [1848]
Wily 3 M W at home TX [1867]
1307/1444:
Simms Wily 19 M W Laborer AL [1851; Wiley Wilson 2 Jan 1850]
Emilie? 14 F W Keeping house TX [1856]
Ivey, May 31 F W Keeping house GA [1839]
Believe your Leander and William L are the same person (see census records above).
R.E. & H Hutto as you give them are born well after Luvinia's husband died. I don't know who R. E. (1878- ?) would be.
The only Hutt I have found is on the 1900 Limestone Co, TX census and he's a child of Wiley Wilson (Bunk) Sims (son of Wiley Wilson & Luvinia) and his wife, Mary Emaline:
District 56, Justice Precinct 3
Sheet 16A SD 9 ED 56
Enumerated 20 Jun 1900
281/284:
Sims, John S Head W M May 1845 55 M 34 yrs AL Un Un Farmer 4 mos
Isabel wife W F May 1846 54 M 34 9 children/8 living TX AL AR
Nora dau W F Dec 1875 24 single TX AL AR
James son W M Mch 1877 23 single TX AL AR Farmer 4 mos
John son W M Aug 1879 20 single TX AL AR Farm laborer
Pat son W M Nov 1884 15 single TX AL AR at school 5 mos
Lola dau W F Mch 1887 13 single TX AL AR at school 3 mos
282/285: (son of John S & Isabel)
Sims, Wiley Head W M Nov 1867 32 M 4 yrs TX AL AR Farmer 4 mos
Dora wife W F Feb 1876 24 M 4yrs 2 children/2 living TX AL AR
Quinny B dau W F Jany 1897 3 single TX TX TX
Velma B dau W F Jul 1898 1 single TX TX TX
Bates, Martha aunt W F Jany 1844 56 wd 1 child/0 living AR Un Un (aunt of Dora?)
286/289:
Sims, Wiley W Head W M Jany 1850 50 M 30 yrs AL SC AL Farmer [brother of John S]
Mary wife W F Aug 1855 44 M 30 yrs 8 children/8 living TX AL AR
Ed Wm son W M Nov 1873 26 single TX AL TX Farmer
Braddy dau W F Mch 1882 18 single TX AL TX
(image 32 of 56 Sheet 16B):
**Hutt son W M Dec 1885 14 single TX AL TX
Eva M dau W F Nov 1887 12 single TX AL TX
Lessie E dau W F Sep 1890 9 single TX AL TX
What I'd love to know is the identity of the 9th child of John S & Belle Sims AND the other 3 children of Wiley Wilson (Bunk) & Mary Emaline.
Hope this helps; Nancy can probably shed more light on this than I can.
Lisa