IIRC, someone here stated that the children were sitting next to Melania in the front row in the Rose Garden, but unless they were in the ante room before and after with her parents, perhaps all was done there and the children were never near the adults at that time?
That said... we may never hear in MSM about family members.. yet we did for "anonymous" family member of the Rep Comm that day who was associated with perhaps #1 person of concern?
After the ceremony in the garden, there were two receptions in smallish rooms in the White House (not a big ballroom). I can't remember the names of the rooms - but it can be found in early reporting. There are pictures. Lots of people without masks (I believe that's where Kelly Conway kissed Barr/whispered in his ear.
As to the children, presumably they were near adults at all times, as they are too young to be unsupervised. Unless you simply mean "not near the adults who got CoVid."
Fact is, we don't know how many people got CoVid at that event. The distance that Chris Christie maintained from the other known infectees was a good long distance.
Doug Mills of the New York Times took the indoor pictures. They started out socially distanced more or less (4 feet apart maybe?) but without masks. One kid is sitting immediately next to Tillis, with their faces 1 foot apart, chatting.
Many pictures show adults with their faces 1-2 feet apart, chatting. These events went on for at least an hour, maybe more.
I just wanted to add these observations because while many people think the transmission happened in the actual Rose Garden, I believe strongly that it occurred at the two indoor receptions afterward.
Our chances of getting CoVid in a setting like the Rose Garden are about 10-20X less than indoors (usually 20X if socially distanced - but they were fairly close to each other). Hard to know who spread to whom, but the VIP's were apparently all in one room for the after-party.