Your SKINNER family line is very well documented - I looked at the ancestors of HORACE BILLINGS SKINNER and could find no "BILLINGS" surnames. Perhaps he was named BILLINGS after a close family friend.
Just in case you don't have this information on HORACE BILLINGS SKINNER:
born Feb 28, 1809 in Putney, Windham Co., Vermont
died Nov 13 1887 in Provo, Utah Co., Utah
Father - BRITTON SKINNER
Mother - SARAH EASTERBROOK
First wife was ELEANOR CEASE, who he married on Mar 20, 1833 in Cincinnati, Hamilton Co., Ohio.
His second wife, was JANE JOHNSON INGLEFIELD.
"On February 7, 1846 HORACE was endowed in the Nauvoo Temple; in 1852 he journeyed with the John B Walker Company to the Salt Lake Valley".
Hope this helps - Sincerely, Melinda