I'm not sure if this is your Walter but this is all that seemed possible:

1850 ARK Washington Co Marrs Hill
Michael Asher 63 TN
Elizabeth Asher 60 TN
Sarah Asher 28 TN
Walter Asher 27 wagon maker IL
Thomas Asher 25 IL
Rebecca Asher 23 IL
John Asher 14 ARK
Melly? Asher 12 ARK
Adam Asher 7 ARK

1860 ARK Washington co Marrs HIll
Walter Asher 30 farmer IL
Sarah Asher 32 IL
Milly Asher 22 ARK

1880 ARK Washington Co Marrs HIll
Asher Walter 56 farmer IL TN TN
Asher Ann E 34 wife
Asher Joel T 14 son
Asher Milla A 12 dau
Asher John L 10 son
Asher James A 7 son
Asher Susan M 5 dau
Asher Cora B 3 dau
Asher Nan;cy C 1 dau
ASher Sarah 59 sister TN TN TN

found on findagrave.com
Walter A Asher
b. 15 Jun 1820 Greene Co IL
d. 29 Aug 1892 Washington Co ARK
son of Michael and Elizabeth Asher
buried in Rose Cem Prairie Grove Washington Co ARK
headstone picure on website

tree on rootsweb.com
http://worldconnect.rootsweb.ancestry.com/cgi-bin/igm.cgi?op...

If this info doesn't seem like your family just give more info and I will check again.