Annie Agen's first husband was Henry Golden.
from the image of the marriage record:
her address at the time was 109 W 36th
William's occupation: liquor dealer.
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NY City Directory
image 1632 starts year ending
May 1, 1871https://www.familysearch.org/ark:/61903/3:1:3QHV-V3DB-LSR1?i=1631&cc=3754697Ann Golden, widow of Henry, home 109 W 36th [image 1900]
Ann Park, widow of Joseph J, home 183 Mulberry*
Park & Tilford, grocers, 2 addresses, neither his home acc to marriage record
* included just because she was there. no necessary relation, but it might help rule someone out earlier or later.
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I saw an ad along the way for Park and Tilford, purveyors of fine groceries, wines, and Havana cigars, so I think Wm Park is the Park in that partnership. but none of the listings gave a home address for him. just the store addresses.
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this might or might not be the right Henry Golden. It looks good, since there is no good match for "your" Ann in this directory.
City directory
image 2076 in this link starts year ending
May 1, 1868https://www.familysearch.org/ark:/61903/1:1:6ZV6-3YL3Ann Golden, h 212 South
Ann Golden, widow of Patrick, h 178 Laurens
Henry S Golden, carman, h 209 W 26th [all image 2292]
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if so, he died about 1868, 1869, since ...
City Directory for the year ending
May 1, 1869Ann Golden, bdgh. [boarding house] 109 W 36th
no other Golden at that address
Wm Park, grocer, 2 addresses, neither his home, I don't think.
https://www.familysearch.org/ark:/61903/1:1:6ZMP-RVHQ <- link to Ann Golden's page
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I stopped there. There are a few earlier directories that he or she might be in, and I didn't look for them in 1860, their marriage, or his death. And I didn't look very hard for Anne in 1870.