Looking at the stick on the right on a full screen, instead of my phone.... I do not think it is oak, but don't really know what it is. The one on the left, I do think it is Ironwood. We have two different kinds of ironwood, a smooth trunk variety, and one that looks like the trunk had tendons or muscles under the bark.... if that makes any sense. With a good honeysuckle vine, they will develop the twist when young.
BTW, their are some very talented folks that use this forum. I've browsed around and have seen some exceptional artistry with the canes and sticks. I'm glad to have joined the group here.