The Collaborative International Dictionary of English v.0.48:
Falling \Fall"ing\, a. & n.
from Fall, v. i.
[1913 Webster]
Falling away, Falling off, etc. See To fall away, To
fall off, etc., under Fall, v. i.
Falling band, the plain, broad, linen collar turning down
over the doublet, worn in the early part of the 17th
century.
Falling sickness (Med.), epilepsy. --Shak.
Falling star. (Astron.) See Shooting star.
Falling stone, a stone falling through the atmosphere; a
meteorite; an a["e]rolite.
Falling tide, the ebb tide.
Falling weather, a rainy season. [Colloq.] --Bartlett.
[1913 Webster]