This is an old posting, so I don't know if you will receive this information, but perhaps there are others who may also be interested.
This is what I know about Lawrence and Thressie Jaycox. They were my great grandparents. I was told that Thressie's fathers name was DeWitt Jaycox and her mother's name was Jenny (I am not certain of the spelling). They had several children: Leo, Gladys, Viola, Louella and at least one other whose name I cannot recall. They also apparently raised many foster children.
I never met either of them, but my mother tells me stories about them sometimes. Her favorite is about her grandfather's garden. He was apparently a great gardener and would take her out to the garden with him and give her a fresh tomato to eat. He always kept a salt shaker in his pocket when he went to the garden. He would also speak French to her. He was very tall (or perhaps she just remembers him that way).
There is a Jaycox family cemetary in Croghan NY I think. I have found reference to it and plan to try to visit this summer. It is interesting that burials there only seem to go back one or two generations. I suspect that they migrated to that area from somewhere else. Thressie told my mother that her family was originally from Long Island. I have no documetation to substantiate that, but my mother's memories of other family history she was told has been remarkably accurate, so there is probably at least some truth to this information.