This second file, FALL.SNG.mid, is a valid MIDI file it seems.
At least it opens in a few sequencing programs I have, namely Sekaiju, Anvil Studio, XGworks, SOL2.
A song saved with a .SNG extension, although it will contain MIDI data, is not saved in the SMF format, but in the proprietary format of MidiSoft studio.
Note the difference between the two files as displayed below.
The first should have the .SNG extension, not .MID (note the "FALL.SNG" embedded within the file.
The second is the valid MIDI file in SMF format. Note the MThd header and the MTrk track start markers.
JohnG