Hello -- I followed Henry and Katie through the 1880 - 1930 federal census. In 1900, Katie said that she was the mother of 5 children with only 3 living.
Hopewell Twp, Mercer, New Jersey 317/317
Vantine, Henry head WM May 1865 35 md 3 years PA NJ England Farmer own mtg ----, Catharine wife WF Oct 1867 32 md 3 years 5/ 3 living Ireland Ireland Ireland 1873 in US 27 years ----, Rosalind dau WF Oct 1889 10 single NJ PA Ireland school ----, Lawrence son WM Oct 1894 5 single PA PA Ireland ----, May dau WF Dec 1897 2 single PA PA Ireland
I put the unknown children in where there were "gaps" but I don't have actual proof of their names or ages.
I've seen the marriage certificate which obviously is hard to read because I abstracted the name of Katie's mother as Mississped?Nicholson. Thank you for the correction -- I think Winifred is a much better name, don't you? :) This license was available through the Family History Library -- if you have the patience of Job, I will copy it for you, but it may take literally months for me to find someone willing to take me down to the library. You can also order it from New York City.
I don't know when they were divorced, but in 1920 Katie is in Colorado and her status is divorced. If you had some notion of when she died, perhaps you could order a death certificate. Some states have their indexes online, but Colorado just pulled the small portion they had citing privacy concerns.
This doesn't help much with the Walsh family but I hope that a death certificate might. (If you write for one, be sure to specify that she might have been listed Vantine, Van Tine, Vantyne, or Van Tyne.