"Within the Town of Lansing is the Village of South Lansing"

Am I right in understanding that a "town" in New York is the equivalent of a "township" in Michigan; ie, a sub-portion of a county. Around here, a "town" is a municipality, smaller than a "city" and larger than a "village."

"...the east side of Cayuga Lake you get to a sign the welcomes you to Lansing. Drive a little farther north and you see a sign welcoming you to South Lansing."

Ha! Lansing, Michigan, is right next to East Lansing, Michigan. Oddly enough, apparently, East Lansing is immediately east of Lansing. Both are municipalities, one is the state capital and the other the home of Michigan State University. GO SPARTANS!

"Homer, NY, BTW, is about a half hour northeast of Ithaca.

Homer, Michigan, is 15 miles west of Jackson and not especially near Ithaca, which is 15 miles south of Mount Pleasant.