Hello John, In your research on the Clements family in New Hampshire, did you by chance come across a family with a daughter born in New Hampshire about 1815 who was named Elizabeth Permelia or Permelia Elizabeth?
My ancestor Benjamin F. Church, born in Ulster County, NY, moved to Chicago in 1834 and Milwaukee in 1835. He married Elizabeth Permelia, maiden name apparently Clemens or Clements or other variant, and they had 6 children between 1840 and 1865. A more detailed query can be found on my blog: https://relativemusings.wordpress.com/2013/12/28/permilia-wife-of-benjamin-church/
Any help or research suggestions would be appreciated. Best wishes, Barbara