Part Number: SN74LVC1G37
Other Parts Discussed in Thread: SN74LVC1G16
I think that in the SN74LVC1G37 datasheet, the section 7.4 "Function Table" is incorrect as it conflicts with the 8.2 "Typical Application" section and its figures 8.1 & 8.2. Here is what I'm seeing: 
(In the image above, I've marked up the function table with what seem to me to be the proper corrections.)
Comparing the datasheet for the very similar SN74LVC1G16 inverting version of this buffer, that datasheet does not include any "Function Table" but does include a similar "Typical Application" section which again shows the states that an LED assumes when the input is diven high or low and, as you would suspect, the operation is indeed inverted compared to the SN74LVC1G37 part. So, the "Typical Applications" across both datasheets are consistant and make sense, leaving the conflicting "Function Table" information for the SN74LVC1G37 part being the "odd data out".
