Newton Kindred is living next door to Daniel in the 1870 Census.

I found Harriet’s maiden name on a transcription of Early NY marriages. I believe her name is mispelled. See notes below.
City Directory listings:
1891 Shaphoff Harriet wid Dan'l, 79 Covert (son Wm's address)
1897 Shaphoff Harriet wid Dan'l, 79 Covert
1898 Shaphoff Harriet wid Dan'l, 79 Covert
1899 Shaphoff Harriet wid Wm., (sic) 79 Covert

Source: 1870 Census, 17th Ward, Kings Co., NY. Page 189 also stamped 211. U.S. National Archives Microfilm: Roll 958, Page 211

I actually believe Harriet’s name is Kindred and found the following names from the 1830 Census:
Kindred, William NJ MORRIS CO. JEFFERSON TWP 097 1830
Kindred, George NJ MORRIS CO. JEFFERSON TWP 097 1830
Kindred, Charles NJ MORRIS CO. JEFFERSON TWP 097 1830
Moses and Cornelous are listed for 1840 Then many more for 1850 Most are in the same County.
The only Hindreds (probably also mispelled) I’ve found nationwide are:
Marriage record for Annette M. - WFT CD Ohio, 1851-1900 (#236)
Alabama Census record for David Hindred - CD #316 1840 census