Several of the ferns would be at home there. There's one known as Jacobs Ladder (I think its Polymonium something) which is great in a hanging pot and it is happy out of direct sun. Easy care too. My non gardening son had one in his bedroom in the 70s (I even borrowed a book on macrame and made the hanging and it lived a long time.

Polemonium is a jacob's ladder but it is a hardy perennial and not a fern. many of the semi hardy ferns would do well. So would spider plants [Chlorophytum I think]
Tradescantia and another one is the Goldfish plant but cant remember its proper name.

I thought I'd remembered that the fern I had was identified as Jacobs Ladder at the time. (Memory is quickly decaying alas)I now remember it was a Boston fern. Not much difference! (I do remember finding a real Jacobs Ladder growing wild in the Peak District on a limestone cliff. Very beautiful it was too. Since had one in the garden but its gone to glory now.)
Look at no 34 on this site - Boston fern looks like that.
://www.housebeautiful.com/lifestyle/gardening/g2628/low-light-houseplants/
There is actually another one called nephroleps pendula that has very long fronds that hang down a long way but its probably too big for what you want..

Thank you Seaburngirl and Yorkslass - I'll be looking at ferns, spider plants and that website. It'll be nice to fill that corner (the window sill is chockablock with plants - I just can't help myself). I'll keep an open mind on long fronds - it might suit!

Long fronds - wait until you've seen the pic...!

In a small basket, Nephrolepis obliterata 'Jester's Crown' would probably be a better choice of fern. Other than ferns, think about Heart Leaf Philodendron (Philodendron hederaceum).