The Brigade may have been passing through the area and had a few skirmishes. Each regiment of the Brigade had between 200 and 300 soldiers at this point of the war. Total Brigade strength was less than 1200. Effectives would be about 500. I find nothing that that they were near Cumming, though the crossing of the Chattahoochie is not that far.
Nothing was impossible for a unit that could do 60 miles in one day when ask. Would concentrate on Colonel Hill. Off the top of my head the 6th did not have a Colonel Hill. John Walter Hill was the Surgeon and B. F. Hill was the Chaplain of the 6th.
The brigade could range as far north as Cumming and as far south as Atlanta in a given day. First to gather intelligence and second to gather forage for the horses. George Griscom the Adjutant of the 9th kept a diary and notes that they kept doing picket, so the ranging was limited. Will Keep looking.