The column headings are for free white males,  free white females,  all other persons,  slaves
under 10, 10-15, 16-25, 26-44, 45 and over.  
These Elmore's were in South Carolina, Newberry County,  in 1800 Census.   This might be significant because Deborah claims she was born in SC.   Could she have met and married her husband there and then moved to Tennessee?   If we assumed that scenario then one of these Elmore's could be her father-in-law. 
Notice:  There is an Allen Elmore
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In 1800 there were other Elmore's in South Carolina:
See below

Elmore

1800 South Carolina Census

Elmore, Jesse 
State: South Carolina Year: 1800 
County: Charleston  
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Elmore, Jacob 
State: South Carolina Year: 1800 
County: Claremont 
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Elmore, William  
State: South Carolina Year: 1800 
County: Darlington
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Elmore, Maj. John A 
State: South Carolina Year: 1800 
County: Laurens
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Elmore, Charles 
State: South Carolina Year: 1800 
County: Laurens
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Elmore, Allen 
State: South Carolina Year: 1800 
County: Newberry
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 Elmore, Isaac 
State: South Carolina Year: 1800 
County: Newberry  
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Elmore, Mathias 
State: South Carolina Year: 1800 
County: Newberry
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Elmore, Ridgeway 
State: South Carolina Year: 1800 
County: Newberry
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Elmore, Stephen 
State: South Carolina Year: 1800 
County: Newberry
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Elmore, Thomas 
State: South Carolina Year: 1800 
County: Newberry
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Elmore, James  
State: South Carolina Year: 1800 
County: York
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