One of the families in my church when I was a child was named Reese and they pronounced their name Reesee too. Over time, pronunciations do tend to change. Most people don't pronounce "Roosevelt" correctly anymore, saying "rose-a-velt" instead, but I bet back in FDR's day most people pronounced it "ruse-a-velt."
In his Inaugural address, FDR pronounces his name Rose-a vult:
http://www.youtube.com/watch?v=MX_v0zxM23Q
It's at about 1:27.