I've got a few Eastern Woodland style hickory bows that are 1 1/4 inch at the widest point.
Lengths are 63", 58", and 56". The 63" shoots realy sweet the 58 takes about as much set as most of my bows and the 56 takes a couple inches of set but it was made under 'survival' conditions and in about a day so the tiller isn't exactly spot on.
I don't really have any expiereice with oak but if it acts similar to hickory; make sure the back is perfectly clean, there's a lot of tension on a 1 inch wide bow.
And if you want low set take your time with tiller.
I also just have a 26" draw and I usually just draw the shorter bows to 25" so that helps with set too.
Pretty much what Dictionary said.
I'd highly suggest taking a look at 'Native American Bows, Arrows, and Quivers' Vol 1. It has a ton of pics and dimensions of eastern woodland bows that'll help you out.
I had another guy on another forum ask me similar question so I already have some pics on my computer. These bows here are cyprus but the vast majority of EW bows look just like them with just some varation in nock style and length.
I'd suggest keeping the handle nice and round. The 'square' thin bow handles aren't very comfortable to shoot.