A search for spectral lines in gamma-ray bursts detected with the Transient
Gamma-Ray Spectrometer has been unable to confirm their existence. The spe
ctrometer, aboard the Wind spacecraft, has detected gamma-ray bursts and ot
her transients since 1995. We have performed a systematic search for narrow
spectral lines in gamma-ray bursts detected with this instrument that augm
ents and extends the results of a similar search of bursts detected with BA
TSE. This search procedure tests for statistically significant lines at all
possible times and durations during a burst using the method of maximum li
kelihood and C-statistic. Simulations demonstrated the effectiveness of thi
s procedure, particularly on Poisson distributed data, for distinguishing r
eal features from statistical fluctuations. The most promising line candida
tes were consistent with chance fluctuations, given the large number of spe
ctra searched.