Jane Spingler

see http://registers.trinitywallstreet.org/files/history/churchyard/stp...

http://www.trinitywallstreet.org/churchyards-and-registers

Trinity Church  baptism?  "Henry Kline; Mary Spingler Kline; Jane Spingler Losha; Jane Storm; James Wilt"

There's not much remaining to show that Jane actually walked on this earth... But here's a baptism she witnessed: 1785 Apr 16; George Munson, Mary Dutcher; George (b 11/12/1784); John Eussiths, Jane Spingler
from Baptisms of New Amsterdam Reformed Dutch Church 1731-1800

read findagrave

to wit:
Jane lived long enough to join her husband in the acquisition of the so-called "Smith farm" at the two-mile stone out Bowery Road. As related at findagrave, her grandmother, Ann Sloo, would walk out from downtown to visit her. Henry and Jane later undertook the construction of a new home to fit their fancy. Jane did not live much longer than when it was completed. Henry remarried shortly thereafter.
It is not known by me whether Jane and Henry had any offspring. If they did, they didn't survive long.
{MMvB Jan., 2022}

Note: <Sloo> is often spelled <Sloe>

about the church parish were she is buried:

St. Paul's Chapel, which was completed in 1766 at Broadway and Fulton Streets in New York City for Anglicans living beyond convenient walking distance from Trinity Church. The Chapel, which was used for a thanksgiving service for George Washington on 30 April 1789 after his inauguration as president, is the oldest public building in continuous use in Manhattan. (2022)

Looking at the 1st Federal census, we may conclude that Henry and Jane lived in the Out Ward at the old Smith farm while their house was being completed. Jane did not get to enjoy the new house long or at all. She died in 1790, just a few days after her mother-in-law Rosina Spingler. They had no known surviving children. Henry quickly remarried to a younger Englishwoman, Mary Bonsall, who had only been in the US for a few years. Henry had been associated w/Mary's brother for some time.