short hose; socks.
Origin of half hose
First recorded in 1850–55
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019
Examples from the Web for half hose
Where do shop-walkers get their "half-hose," "vest" (for waistcoat), "neckwear," "footwear" and similar words?Why we should read|S. P. B. Mais
The principal trade of other districts is hose and half-hose, made from the wool of the sheep native to the district.