Try this, Kath:
Make a new file, with two staffs.
Copy this clip onto the new staff:
!NoteWorthyComposerClip(2.0,Single)
|Note|Dur:Whole|Pos:1|Opts:Stem=Down
|Note|Dur:Half|Pos:0|Opts:Stem=Down
|Bar|Visibility:Never
|Note|Dur:Whole|Pos:-1^|Opts:Stem=Down,Tie=Downward
|Note|Dur:4th|Pos:-1|Opts:Stem=Down
|Note|Dur:Half|Pos:-2|Opts:Stem=Down
|Bar|Visibility:Never
|Note|Dur:Whole|Pos:-3^|Opts:Stem=Down,Tie=Downward
|Note|Dur:4th|Pos:-3|Opts:Stem=Down
|Note|Dur:Half|Pos:-1|Opts:Stem=Down
|Bar|Visibility:Never
!NoteWorthyComposerClip-End
That was the first part of your clip above, with the bar lines set to invisible.
Now make a lyric for staff 2, using this text, positioned above the staff:
I want-ed to keep the bars for the ly-rics as _ wide as possi-ble
Close the lyric editor.
Paste this clip onto the second staff.
!NoteWorthyComposerClip(2.0,Single)
|Note|Dur:4th|Pos:0z|Opts:StemLength=0
|Note|Dur:16th|Pos:0z|Opts:StemLength=0
|Note|Dur:16th|Pos:0z|Opts:StemLength=0
|Note|Dur:16th|Pos:0z|Opts:StemLength=0
|Note|Dur:16th|Pos:0z|Opts:StemLength=0
|Note|Dur:Half|Pos:0z|Opts:StemLength=0
|Note|Dur:Half,DblDotted|Pos:0z|Opts:StemLength=0
|Note|Dur:Half|Pos:0z|Opts:StemLength=0
|Note|Dur:4th|Pos:0z|Opts:StemLength=0
|Bar
|Note|Dur:Half|Pos:0z|Opts:StemLength=0
|Note|Dur:Half|Pos:0z|Opts:StemLength=0
|Note|Dur:16th|Pos:0z|Opts:StemLength=0
|Note|Dur:16th|Pos:0z|Opts:StemLength=0
|Note|Dur:16th|Pos:0z|Opts:StemLength=0
|Note|Dur:16th|Pos:0z|Opts:StemLength=0
|Note|Dur:Half|Pos:0z|Opts:StemLength=0
|Note|Dur:16th|Pos:0z|Opts:StemLength=0
|Note|Dur:16th|Pos:0z|Opts:StemLength=0
|Note|Dur:16th|Pos:0z|Opts:StemLength=0
|Bar
|Note|Dur:16th|Pos:0z|Opts:StemLength=0
|Note|Dur:16th|Pos:0z|Opts:StemLength=0
|Note|Dur:16th|Pos:0z|Opts:StemLength=0
|Note|Dur:16th|Pos:0z|Opts:StemLength=0
|Note|Dur:16th|Pos:0z|Opts:StemLength=0
|Note|Dur:16th|Pos:0z|Opts:StemLength=0
|Note|Dur:16th|Pos:0z|Opts:StemLength=0
|Bar
!NoteWorthyComposerClip-End
Now set the top staff properties to "layer with next staff" and click View/Allow layering.
Check the result in both the edit window and in the print preview window. It won't be pretty because I'm not very familiar with melismatics.
I think you'll find the bar lines inserted wherever you wanted them in the second staff will show up nicely, and you can move them around a bit by adjusting the note lengths. The lyrics follow the note values in the second staff too. If those notes are muted, they won't playback.
Notice I set the notes to the "invisible notehead" setting and the stem length zero. I'm not sure this will work just by making the notes have regular noteheads and stems, but set as invisible, but you can give it a try.