Yes, and the rest of the family disappears after that 1870 census except Elizabeth (who disappears after the 1880 census) and Allen (who I actually traced to his death in Fannin, TX, and have talked to several of his descendants; none of whom know any more than I do). I spent a long time analyzing the handwriting on the 1860 census to try to learn his wife's name, and I determined that they actually wrote Delhis, and then accidentally crossed the L as if it were a T (not that this brings me any closer to knowing what her name was). On the next census, when she is a widow, her name is Delie.
There is a John Meeks who had a son the right age to be James. He had 6 males in the household that were probably his sons, I have found the names of 5, and James might be the other (but that person could have also been a nephew or hired hand or something), and when James appeared on the 1842 tax list as a White male age 21+, he is right next to Sally Meeks. There were several men named Meeks who had a wife named Sally, and I'm trying to narrow which one might have been a widow or a femme sole at that time (she could have been an unmarried Meeks woman, perhaps an aunt or cousin, rather than his mother). I think it is likely that John might be his father, and it's also likely that Sally was his mother, but both can't be true, and maybe neither is true.
This was the first branch of my family I researched, made a trip to Casey County in 1992 and again in 1996. It's been a brick wall ever since. I keep pushing back the evidence for James Meeks in Casey County, originally the date was 1860 and now it is 1842, and yet, other than how many pigs he owned and things like that, I don't really know any more than I did.
I have a guess that maybe after he died, his younger children might have gone to an orphanage if their mother couldn't take care of them, or maybe they all died of an infectious disease, because they simply vanish. The story about Elizabeth Meeks indicates that she might have run away, possibly when her brother Allen moved to Texas, though I don't know for sure, but her husband remarried in 1889, so I think she must have died by then, unless there was a divorce. I have not had a chance to go back to Casey County to look for evidence of a divorce, or to look at deeds, where Delhis/Delie may have relinquished dower rights when land was sold.
I suspect they may have been in Pulaski County, unfortunately I don't known when I will get the chance to make a trip to look at Pulaski tax lists and deeds, any more than I know when I'll get the chance to go back to Casey County. I was fortunate that a library an hour away from me happened to have some microfilm of Casey County tax lists, and there were a few years on Familysearch as well.
I would REALLY love some help! I've been stuck for SO long, and every other descendant I've ever met has had james' son Allen as an ancestor, and has actually known a little less than me about James and his wife and other children, though I of course have searched everything anyone has found about Allen for any record of his parents' names. Alas, they are not on anything I've found.
Finally, it's possible that there is a connection to Native Americans with the surname Meeks. I traced a Littleton Meeks, who was a missionary to the Cherokee prior to the Trail of Tears, thinking perhaps this was the connection, the explanation for the family story, because, "Everyone," has a family story about a Cherokee ancestor, right? But then I took a DNA test and I am 1.5% Native American, so I am thinking there is some truth to the story. I think either James or his wife had a Native American parent or grandparent, but as it's a brick wall, I can't be sure. I do know that the descendant of Allen also claim that the Meeks have Native American heritage, and the two branches of the family have not had contact since the 1880s, so the story goes back at least that far (which doesn't necessarily make it more accurate). Anyone looking into this Meeks family should know that the research might turn in that direction at some point.
So I would absolutely welcome you looking into it further, that would be awesome! Be sure to read their profiles first, as the info you found was already on them, though I would be over the moon that you found it if I hadn't already done so!