The connection between you and your grandson's other grandmother is very much like that of siblings or cousins. You are connected by another individual, in this case, a mutual grandchild, and you are now in a family network together.
You are co-grandparents of this child, and there is much research that supports the significant role that grandparents play in lives of young people.
However, this does not mean that co-grandparents have to be best friends or even like each other. But they should show respect for each other, especially in front of the children and grandchildren. When differences of values or opinions surface, it is important to try to see things from the other's point of view.
Seeing adults getting to know each other and working to get along is a very valuable lesson for children.
In terms of legal issues, the laws vary from state to state when it comes to things like child custody and grandparents' rights. So, if this becomes an issue, consult with your attorney. AARP also has a lot of good information for grandparents as well.
In the meantime, enjoy your grandson and think of the other grandmom as your partner in supporting your own children as parents.
