Harriet Reamer's birthyear varies from 1842 to 1844 in the various U.S. Federal Censuses. According to the picture of her headstone "1844" is correct.

Parents: Aaron and Cornelia Dilley/Dilly.

She was the widow of William Reamer and died at her home in Phillipsburg on Wednesday night, February 6, 1918, aged 74 years. She had suffered a stroke the previous Friday [February 1] from which she didn't recover.

She leaves seven children:
John Reamer, of Flemington;
Harry Reamer, of Flemington;
Mrs. Rebecca (Henry Y.) Schafer, of Somerville;
Mrs. Pauline (Robert) Beidelman, of Somerville;
[George] William Reamer, of Phillipsburg;
Mrs. Emma (William) Crady, of Phillipsburg and
Mrs. Ann (Samuel) Bird, of Phillipsburg.

She was a resident of Flemington for many years, removing to Phillipsburg a few months before her death.

Funeral services were held on Monday, February 11, at the home of her son, Harry Reamer, in Flemington. Interment was in Baptist Cemetery.

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Source:
The Hunterdon Republican, Feb.13, 1918
(original obituary at the "Hunterdon Republican Newspaper Project" -
http://sites.rootsweb.com/~njhrna/Digital%20Images/1910-19/1918/1918-02/1918-02-13.jpg)

Additional sources:
1850 United States Federal Census - New Jersey, Hunterdon Co, Tewksbury Township - Page No. 2, Line 22 (Harriet Dilly/Dilley - female - 8 yrs)
1860 United States Federal Census - New Jersey, Hunterdon Co, Readington Township, (Post Office: Stanton) - Page No. 54, Line 34 (Harriet Reamer - female - 18 yrs)
1870 United States Federal Census - New Jersey, Hunterdon Co , Raritan Township, (Post Office: Flemington) - Page No. 12, Line 34 (Harriet Reamer - female - 26 yrs)
1880 United States Federal Census - New Jersey, Hunterdon Co, (West) Raritan Township, Flemington, Enum.Distr. 073 - Page No. 21, Line 2 (Harriet Reamer - wife - 37 yrs)
1900 United States Federal Census - New Jersey, Warren Co, Phillipsburg Ward 02, Enum.Distr. 0198 - Sheet No. 8 B, Line 100 (Harry Deremer [sic] - head, female - 56 yrs [b. Apr.1844] - widowed)
1910 United States Federal Census - New Jersey, Hunterdon Co, West Raritan Township, (Flemington Village), Enum.Distr. 0021 - Sheet No. 25 A, Line 42 (Harriet Reamer - mother - 66 yrs - widowed)

New Jersey, State Census, 1885 - Hunterdon Co, Alexandria-West Amwell, Raritan Township, Flemington) - Page 26, No. 755 (Harriet Reamer)
New Jersey, State Census 1895 - County - Hunterdon Co, Flemington - Page No. 20, Family No. 5, No. 586 (Harriet Reamer)
New Jersey, State Census, 1905 - Hunterdon Co, Alexandria-West Amwell, (West Raritan Township, Flemington), Enum.Distr. 2nd - Sheet No. 12 B, Line 78 (Harriet Reamer - female - 61 yrs [b. Apr.1844] - widowed)
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