we covered (or uncovered!) clothing before..
weskit-- (and various other spelling..) =waist coat which could =vest as in a three peice suit.

but vest is also used for a men's undershirt.. not the t- shirt kind, but the kind for want of better description, sort of looks like a woman's camisole. (sleeve-less undershirt)

for me, vest 1. is sleeve-less garment, worn by men and women, over a shirt. 2. a sleeveless undershirt for a man.

and weskit and waist-coat--are ornate vests, (1.) either with collars, ruffles, or hip lenght..

i never use singlet (or doublet!) it sound archaic to my ears!

ink horns= ink bottles.. i have some pens that i fill from an ink bottle, and few pens that i dip into an ink bottte to use. my every day fountain pens tend to use cartridges.. (purple ink,at the present) or are pilot disposable fountain pens.
bottled ink is india (black)--a pint size bottle, half used, and a small bottle, (2 oz.?) in what used to be called peacock blue, but is now called "de mar" --sea blue.