You may want to try searching the various childrens names at ( http://www.fultonhistory.com/fulton.html
). They have a huge collection of old newspapers online in PDF format, that are free to search. I have found many old obits and marrage announcments here. They have quite a few that date back to at least the 1890's. I did a quick search for Joseph Cole and got a few hits, most of which were in the Gloversville newspaper at the time. I used "the exact phrase" function but there are also others available.
Good Luck !