Chestnut oak is in the white oak family , willow oak in the red . According to the best book I have on the subject (Identifying Wood by R Bruce Hoadley) , latewood pores are the most reliable feature for separating red and white oaks . In red oaks they are large , individually distinct and countable , whereas in white oaks they grade downward in size to very small at the outer edge of the growth ring and are usually so numerous and indistinct as to be uncountable .
So , sand a clear grained cross section to 320 or 400 , get out a 3-10 power magnifier and have a look , comparing it to reference samples that you are sure of . Red oak rays are usually 3/8 to 5/8 high , occasionally 1 inch but white oaks usually have some rays over 1 1/4 inch .
Within the two groupings , I think you have to go by the tree characteristics to determine the species .