Not a family member but took some time to see what I could locate.
The marriage of ELIZABETH HALL (no age given in the marriage record and her 2nd marriage) to FRANKLIN P. ALEXANDER Age 24 occurred on 10 June 1876 at Grayson, Carter Co. KY. The marriage record does not identify parents of either party.
I kept looking for a LUCY HALL. I believe the one that fits the approximate age of your ELIZABETH is locatd inj the 1860 Census of Carter Co KY with the following family:
#800 ISAAC HALL Age 40 B Va
LISHA (male) 17
*** MARY 13 (1847)
If you go back to the 1850 census she is identified as ELIZABETH M. (MARY?)as follows and note the discrepancies in the other children as well.
423-423 ISAAC HALL 30
ELIZABETH M. 9 (1841)
ELISHA P. 8
MARTIN McC 7
EMELY J. 3
In another listing the names of the children do come in close proximity to the ages. One in particular was ELIJAH T. HALL born 13 May 1857 and died 12 November 1939. A message on one of the boards indicated that his obituary names his mother as LUCY PORTER and his father as ISAAC HALL. Perhaps his obituary which the researcher indicated she had found would not ELIZABETH as a ALEXANDER.
I know the Boyd County Library has the Carter Co KY newspapers on microfilm and perhaps they could look it up for you