Oh - reading at the site that part about the child I think it means if the child is disabled or under age 16.?? not sure though...
all of that is in the same bracket so I think that is what it is about??
but the second paragraph says something about disability too..

It is not written very clearly though.

[If You're the Worker's Surviving Divorced Spouse

If you are the divorced spouse of a worker who dies, you could get benefits just the same as a widow or widower, provided that your marriage lasted 10 years or more. (You would not have to meet this length-of-marriage rule if you are caring for a child under age 16 or disabled who is getting benefits on the record of your former spouse. The child must be your former spouse's natural or legally adopted child.)

Benefits paid to you as a surviving divorced spouse who meets the age or disability requirement as a widow or widower won't affect the benefit rates for other survivors getting benefits on the worker's record. However, if you are the surviving divorced mother or father who has the worker's child under age 16 or disabled in your care, your benefit will affect the amount of the benefits of others on the worker's record.]

I hope you can get clarification on all of this from the ss office.