I know of streets on the boundary of Slough and Burnham that have the odd
numbers in Slough and the even numbers in Burnham. In this case all the
postal addresses are Slough and the postcodes run continuously.
As far as divided buildings are concerned Skindles Hotel at Maidenhead is
divided between Berkshire and Buckinghamshire. When the hotel was built it
was totally in Buckinghamshire because the boundary was deemed to be in the
middle of the Thames but after a boundary change the boundary followed the
Buckinghamshire bank of the river consequently the Riverside Bar and Terrace
that was built over the river was in Berkshire. In this case it did not
matter so much but on the English/Welsh border there is a pub that is
divided and this had serious consequences because one bar was in England and
the other in a 'dry' Welsh county. This meant that the two bars were subject
to different licensing laws. The bar in Wales could not sell drink on a
Sunday!
There must be similar situations in the States particularly with their
history of prohibition and so on.