Mary Ann, I too, am looking for some of these Adcocks that you have mentioned. I am a descendant of Elizabeth Adcock and Christian Coleman, who married in Davidson Co, TN in 1834. Their daughter, Mary Jane, is my great-grandmother. These Colemans lived in the Robertson/Davidson Co area of Joelton, TN and are presumed to have been buried in the Forest Grove Methodist Church cemetery out from Joelton-although I have been there and could not find their graves. Evidently they are unmarked.
Is this Elizabeth from your line of Adcocks? I have been looking for her family, but other than the Joel you mentioned (he's on the census living w/Elizabeth & Christian) I have found nothing. I did wonder if she was somehow connected to the Anderson Adcock who is also found in Robertson Co, TN in 1850-living near to Elizabeth & Christian.
I am very interested in whatever info you might have on these Adcocks!