The stump removal company came out last Saturday and removed the stump.
It only took about 40 minutes to grind it to mulch. I used some of the mulch for the beds in my front yard as oak mulch is great for retaining water.
Before the stump was ground down I counted the rings on it several times and got an average of 109 (it's very hard to count the rings as they are very close together and very faint). So the tree was probably planted sometime around 1902. I know the house was built sometime between 1895 and 1902 so the trees were either original to the house or planted not long after it was built.