That 1830 census is interesting. As a rule I hate those early census records but the chldren in this census are definitely not the ones posted in the online trees for this family. The ones in the trees would all be older than these, except Henry, born 1807 who would the male 20-29. Elizabeth isn't here either (she would have been 24). But Lydia could be one of the 15-19s (born 1811) and Sarah could be one of the 10-14s. Esther, who showed up in the 1860 census, would be the other 10-14. (Both born about 1820)
Thanks so much for all you've done. We've been banging our heads against this one for a long time and appreciate new eyes looking at it.