I have Family Search's "1880 U.S. Census and National Index" CD's and found the following:
Sturgeon, Owsley Co., Kentucky, p 317B, FHL #1254438
ALUMBAUGH, Julina 50, widow, b Va, dad b Ky, mom b Va
ALUMBAUGH, Elizabeth 14, b Ky, dad b Ky, mom b Va
ALUMBAUGH, Alexander 39 (s-son) b Ky, parents b Ky
ALUMBAUGH, John 32 (s-son) b Ky, parents b Ky
BREWER, Huston 18 (son) b Ky, parents b Ky
BREWER, Sarah C 13, b Ky
Sturgeon, p 318C
ALUMBAUGH, James 38, farmer, b Ky, parents b Ky
ALUMBAUGH, Mary 30, b Ky, parents b Ky
ALUMBAUGH, Julia 10, b Ky
ALUMBAUGH, William 7, b Ky
ALUMBAUGH, Andrew 5, b Ky
ALUMBAUGH, Emily 4, b Ky
ALUMBAUGH, Thomas 8mo, b Ky
The CD does not give census date.
Sturgeon, Jackson Co., Kentucky, p 473C, FHL #1254421
ADAMS, William 57, farmer, b Va, dad b Va, mom b Tn
ADAMS, Barthene 53, b Va, parents b Va
ALUMBAUGH, J.H. 12 (nephew), b Ky, dad b Ky, mom b Va
ALUMBAUGH, Jane F 5 (niece) b Ky, """"
These were the only ALUMBAUGH's found in Kentucky in 1880. I hope this helps you!