Dating after divorce or being widowed can
As for what the names would be, the relationship would remain the same if via death.
Via divorce, typically you would not use such names.
Some grandparents, for instance, give lavish birthday gifts to the grandchildren which are their blood relations, but only give token gifts or no gifts to the grandchildren of the second families. Also, if the relationship between your children and their grandparents is a good one, it would be cruel to cut off that relationship if you married again, and insist that the children of your first marriage had to develop a relationship with your second wife's parents, or have no grandparents at all.
If you are currently addressing your late wife's parents as "mom" and "dad" then imagine how hurt they might be if you insisted that had to change because your wife's death has broken the connection.
I suppose my question might be linguistic in nature in the sense it relates to language, but its more than that. But to be strictly correct, one should properly say "cousin once removed", if that's what the actually "ARE".
I would think the new marriage would supersede the old, relegating my original in-laws to a status similar to "ex" would it not?
And if so, what would be the proper way to refer them?
How do people refer to their former in-laws after divorce?
Especially if there are children; I mean, a man's ex-wife's sister will always be his child's aunt, so a relationship of some kind remains, right?