From National Archive digital images of the handwritten 1810 Census for South Carolina, with some info from the 1820 SC Census as well:
William Cox, Greenville County, South Carolina (image 109; 502/503).
I believe this is our William Cox in 1810. He would be roughly approximately 80 years old (assuming he was born in 1730s). The other children are assumed to be those of his second wife. All of William's children would be quite a bit older by 1810. (See William Cox's family)
James Landford is listed right above him in the Census. This would be most probably a relative of William's second wife, the widow of Henry Langford, Mary. But where is William's wife listed here? In 1800, he had a female "45+" in the household, which would fit for Mary. She would be approximately 60 years old in 1810. Perhaps she is the "45+" female at James Langford.
Also listed are: John Pollard, E. Ashmore, Hans Black, William Brayser, T. (or J.) Brayser.
Free white males
Under 10: 0
10-15: 0
16-25: 1
26-44: 0
45 and over: 1
Free white females
Under 10: 0
10-15: 1
16-25: 0
26-44: 1
45 and over: 0
(listed on same page near Isaac Cox (image 105, 494/495)
This could be William Cox III (son of William Cox Jr. who died in 1798 and married Connie Baker). We don't have a birth year for him but his siblings were born in 1790s. So that would make him maybe around 20 in 1810. This would be William Cox 1's grandson.
Free white males
Under 10: 0
10-15: 0
16-25: 1
26-44: 0
45 and over: 0
Free white females
Under 10: 0
10-15: 0
16-25: 0
26-44: 1
45 and over: 0
*** Isaac Cox, Greenville County (image 105, 494/495)
Also listed on this page are inter-related families: Susan Braysor, Elijah Braysor, Henry Braysor, Lawrence Braysor, Thomas Long, Thomas Richardson, Benit(?) Long, another Thomas Long, John Long, George Long, Samuel Braysor, Willis Hicks, Jacob Black, another Jacob Black, Wm Cox, A. Richardson, J (or T) Bracher.
The 45+ male and female would be Isaac and his wife (name unknown). Like the 1800 Census, he should have an approx 12 year old son, William. It doesn't appear here or in the 1800 Census as fitting in so we may be wrong about his son being William or that he was born in 1798. (See Isaac Cox's family)
The 25-44 male may be son Abraham who would be around 26 depending on which birth year is accurate (Update: I don't think it is -- See a 25 or younger Abraham below). Son James would be in his early 30s so we assume he has separate household. [[Check to see if they show up separately in 1810 Census]]
He had six daughters that we know. Of those who we know birth year, they should all be older than 10. So the female in the "under 10" category is unknown. Sarah (born 1790) and Frances (born 1794) would be around 20 and 16, respectively, so Frances *may* be the female in the 10-15 category, with Sarah and other sisters with unknown birth years as the three in "16-25."
Free white males
Under 10: 0
10-15: 0
16-25: 0
26-44: 1
45 and over: 1
Free white females
Under 10: 1
10-15: 1
16-25: 3
26-44: 0
45 and over: 1
++ Abraham Cox, Greenville County, SC (image 118, 520/521) -- I believe this is the adult son of Isaac Cox (above). This would be Abraham, William Cox 1's grandson. Note: William Cox 1 had two grandsons named Abraham Cox. Perhaps one of them is the "A. Cox" listed below but there was also an unrelated (that we know of) Archibald Cox family floating around in the area.
Free white males
Under 10: 0
10-15: 0
16-25: 1
26-44: 0
45 and over: 0
Free white females
Under 10: 0
10-15: 0
16-25: 1
26-44: 0
45 and over: 0
or
*** ??? Abraham Cox, Greenville County, SC ???
UNKNOWN
There is an A. Cox listed (image 130) in 1810 Greenville:
Free white males
Under 10: 1
10-15: 0
16-25: 0
26-44: 1
45 and over: 0
Free white females
Under 10: 1
10-15: 0
16-25: 1
26-44: 0
45 and over: 0
++ Abraham Cox (search says Society Hill/Darlington, but records say Greenville) image 116
Also on the page are Thomas B. Cox, Thomas Richardson
Thomas B. Cox had a brother Abraham Cox (another brother William Cox III) -- all sons of William Jr. If the sons were all born in the 1790s, then they'd be around 30 in 1820. Abraham Cox, William Cox 1's son, would be mush older by 1820, probably 50s, but I'd think at least in the "45+" category, even if he turned out to be William 1's youngest and not oldest son.
So, I *don't* believe this is William 1's son, but one of his two grandsons named Abraham Cox, and probably son of William 2 because of proximity to that Abraham's brothers/mother's family.
Free white males
Under 10: 0
10-15: 0
16-18: [this category makes no sense to me] 0
16-25: 0
26-44: 1
45 and over: 0
Free white females
Under 10: 0
10-15: 0
16-25: 1
26-44: 0
45 and over: 0
++ Abraham Cox Jr., Greenville County (image 118) -- This is probably Isaac's son Abraham (born 1783), William Cox I's grandson. The junior probably helped distinguish him from his uncle Abraham?
Also on the page are: Isaac Cox (would be his father). The numbers and ages of his children line up so I believe this is Abraham, born 1783.
Abraham would be around 37 in 1820, and perhaps the 45+ female is Mary Langford Cox, his grandfather's widow (he died in 1814). We always assumed it was William 1's son Abraham who settled his father's estate (and maybe it was), but if perhaps the widow was living with her step-grandson, maybe it was this Abraham who was administrator of his estate?
The four males are probably Abraham's sons: Isaac, Samuel, William and James. The three female children are probably Sally, Polly (Mary) and Nancy. His last two daughters were born after 1820.
Free white males
Under 10: 2
10-15: 2
16-18: [this category makes no sense to me] 0
16-25: 0
26-44: 1
45 and over: 0
Free white females
Under 10: 2
10-15: 1
16-25: 0
26-44: 1
45 and over: 1
-------
Census categories in 1810 (same as in 1800):
Free white males
Under 10:
10-15:
16-25:
26-44:
45 and over:
Free white females
Under 10:
10-15:
16-25:
26-44:
45 and over:
All other people except Indians:
Slaves: