O genealogy

Here it is, 9:45 (past my bedtime), and I'm wondering whether my ancestor (hmm, let's see, my great-great-great grandmother), Margaret Irwin Hays, snookered the DAR. Did Eliza McCully really have a baby at 44, in 1825? And if so, why does Margaret not appear on the list of children, which included "died in infancy" children, of which the youngest was born in 1813? A list that includes death dates in the 1890s, so not made before she was born or anything.

People, let me be a warning unto you.