Not sure if you're aware of this, but Albert Nangle and Ellen "Frodge" were married in Franklin Co IL in 1866. Google "Illinois Statewide Marriage Index" to see this record. I suspect "Frodge" is Frogg or Frogge. There were families by this name in Union County and reportedly also in Franklin County.
In 1870 Albert and Ellen's household was in Township 7 South, Range 2 East, in Franklin County, Post Office: Big Muddy (pages 15 & 16). Nearby were the households of David Lookinbee 47 NC, Adam Lookinbee 49 NC, and Joseph and Catherine Broadway.
Heritage Quest's 1870 census index shows the name as "Naugle".
ALBERT NANGLE 24 IL farmer
Ellen 22 IL
Mary L. 2 IL
Louisa C. 1 IL
Easter 16 IL
Google "WorldConnect Project" and see the submissions re "Hannah Ellen Broadway".