I need to correct myself on the census info - actually "Salmon" was on the Washington Twp., Pickaway Co. Ohio census.In 1820, there are not ages, but age ranges, and unfortunately the section that showed the ages was illegible, I believe.
It would be helpful to know the ages and birthdates of your Solomons.I found in 1870 in Oquawka IL, Henderson (you probably know that this is about halfway between Keokuk and Muscatine), there is: Solomon Moomey 49, b. in Ohio Lucinda 46 b. in Ohio (I'll bet this is Lucinda J. Winsted) David 21 b. in Ohio Daniel 19 b. in Ohio Joseph 17 b. in Ohio Solomon 8 b. in Illinois.
Jacob Moomey, b. ca 1789, who married Mary Magdalene Bruner died in Moscow, Muscatine Iowa, 24 Sept 1872.Mary Magdalene Bruner died in Keokuk (I was just visiting there from Washington State a few weeks ago - oy! the humidity!Never heard of "heat index" before, but I get it now!) in 1883.
Jacob's parents were John Mummy and Christina Reichelderfer, and their children were born in Circleville Ohio.Mary Magdalene's parents were John Jacob Bruner and Christina Sattler.
In 1870, Jacob Moomey and Mary Madgalene Bruner were living in Wilton Junction, Mascatine Iowa. (They say their fathers were "foreign born", but I wonder if they thought foreign born meant out of the state of Iowa, or maybe they had been drinking before the census taker came over.)
Also, George and Barbary Moomey (he showed up on the Fairfield AND Pickaway county census in 1820, having land in both towns) had a son, Solomon born in 1820.
The "Salmon" who shows up in the Pickaway census in 1820 couldn't have been Jacob and Magdalene Bruner's son, because Jacob and Magdalene were married 15 June 1811.
Hopefully any of this will be remotely helpful, -Charissa