This may not be your group but there is a good possibility.
1870 USFedCen MO(Missouri),CharitonCo.,Twp53Range20
Post Office: Brunswick,MO enumerated 23 Jun 1870
ARNOLD, Aron 28<1842>mw FmLbr IL
ARNOLD, Mary 22<1848>fw KpgHs OH
MOSS, Nicholas 33<1837>mw FmLbr VA
MOSS, Mary 41<1829>fw KpgHs IL
MOSS(CARTER),James 19<1851>mw IL
MOSS(CARTER),Nancy 17<1853>fw IL
MOSS(CARTER),John 14<1856>mw IL
MOSS(CARTER),Abram 12<1858>mw IL
MOSS??CARTER,Joseph B. 8<1862>mw IL
MOSS, Florence 1<1869>fw IL
ARNOLD,Eliza 63<1807>fw TN
then, 10 years later
1880 USFedCen AR,Izard Co.,LaffertyCreekTwp,EnDist 84
enumerated 5 Jul 1880 by MShelbyKennard
MOSS,Nicholas F. wm 42<1838>head-1-Miller VA VA VA
MOSS,Mary wf 50<1830>wife-1-KpgHs IL NC NC
MOSS,Joseph B. wm 17<1863>son 1--Chairmaker IL VA IL
MOSS,Florence wf 11<1869>dau 1--AtHm MO VA IL
I had not found the other CARTER children yet.
Do not know where or when (or if) marriage record exists.
Prior to this(1860 FedCen)Nicholas MORSE is shown as FmLbr
in household of Mary CARTER(wd of John CARTER) in Adams Co.
IL. Another older child is shown in that census, Martha CARTER (who we believe to have married John DALE--both buried in Melbourne, Izard Co., AR) If I have remembered
correctly this Dale family shows up in Chariton Co., MO also.
Mary CARTER MOSS/MORSE is believed to have been Mary(Polly)
ARNOLD. Marriage: Adams Co.,IL CARTER,John m. ARNOLDS,Polly
If you have secured more info on your John CARTER, please respond. My interest is Abram CARTER,whose son,Robert CARTER married my gm's sister, Ella McNeill in Izard Co.,AR
For infomation about ARNOLD,CARTER and MOSS/MORSE previous census please seehttp://www.genforum.com/arnold
Appreciate you posting!