Certainly isn't. Sorry. Definitely not. If you are basing this notion on an ABC file or something, someone mislabelled something.They are both I-IV-V major scale reels with two parts, and the B parts are somewhat similar. But definitely different. St Annes is usually played in D, Miss McLeods in G or A.
Kendall, I know Dave Mallett doesn't write ditties. I don't know who came up with the one I inserted above-- "wrote" is probably too strong a word. But its fun to sing once or twice if you're with a bunch of players and they seem stuck on that tune...benn known to happen.
W-O