From The Collaborative International Dictionary of English v.0.48 [gcide]:
Jesse \Jes"se\, n. [LL. Jesse, the father of David, fr. Gr. ?,
fr. Herb. Yishai.]
Any representation or suggestion of the genealogy of Christ,
in decorative art; as:
(a) A genealogical tree represented in stained glass.
(b) A candlestick with many branches, each of which bears the
name of some one of the descendants of Jesse; -- called
also tree of Jesse.
[1913 Webster]
Jesse window (Arch.), a window of which the glazing and
tracery represent the tree of Jesse.
[1913 Webster]