Original Inside Rear Window Question, Trim on the inside at bottom of glass? Options

[swm914]

Originally, was there any kind of factory trim running along the bottom of the rear glass where it meets the back of the inner cockpit? My car had a sticky film, somewhat uniform in width running along the bottom of the glass as if something had been glued or stuck there at one time. On part of the distance, I found black electrical tape. I assume the tape must have run the whole way at one time and was put there by a PO as "trim" and where the tape was missing, there was residue.

I removed all the tape and remaining sticky residue and it looks much better. However, it got me to wondering if there was a "trim" of sorts or whatever along there originally that he tried to duplicate with the electrical tape or if he was just being creative? Hopefully, I've described the area I'm talking about good enough. If not, I'll attach a pix when able. Thanks.
Steve