Hello
There is only one Joseph
Flynn in the 1892 City Directory listed as "carpenter, candy, cigar" 528 (or 3?) Front Av. 1892 was the only directory I checked, so you could correlate it to the 1892 NYS census.
There were no other Flynn's listed at this address, but there was a Mrs Jennie
Flynn at 43? Front Av. Front Av is in either the 19th, 20th or 22nd ward
Good
Luck