I'll try to get to it sometime this weekend. To help motivate me, I would love it if you can answer some questions (not directly related to completing your request) I have about your version of the games:
Have you gotten your version of the games to play music? I tried the EXEs (both) and it looks like they have the behavior of trying to play audio tracks from the game's CD. Some CD-ROM versions of the games do actually have such audio tracks on the CD, while others omit them from the CD apparently (and I guess you're then left with no sound or something).
If you have gotten your CD's ONML to play music that's from the game's CD, I'm curious to know if they are merely repeats of a subset of the same songs also played in the version of Lemmings on your CD, or whether they are totally new songs separate from the Lemmings set (as they are supposed to be).
[note: I'm obviously assuming that there is just a single CD disc holding both Lemmings and ONML. If that's not the case (ie. separate CDs for each game) then please let me know!]
Someone here made a MP3/WAV rip of the CD audio tracks I'm talking about, see
this topic. Feel free to have a listen and see if the ripped music sounds like the ones you hear (if you get any music) when you play the game with your CD. My questions about ONML is because that rip of CD audio tracks distinctly do not have seem to include any of the ONML music that one gets from non-CD versions of ONML.