There was no name in any of my files for it when I authenticated it the other day. That's why it looks like there's something missing from the reply I posted - "The bag is a genuine and made in 2003".
There are photos two similar totes with style numbers on either side of 5188 in my files and both of them are just saved as "unknown leather tote" so I hope someone might have a name to help you ID it and help me fill a gap in my records. Maybe I'll mosey on over to the Wayback to see if it will cooperate. Sherman, set the timer for 2003...
ETA - no luck so far with the Wayback. I'll go back through the previous year. It could have been an Outlet item too, the two close ones in my photo files both have outlet stamps. It's similar to the Metro Soft Business Tote but that's style 5332 and has slightly different strap handles with hardware rings where the straps meet the body of the tote.
There are quite a few pictures of the bag from different sites but no official name that I can find, just a lot of guesses. The only way to know the official name is from a price tag or catalog or website photo. Without a tag, you can probably pick any name you like, Large Leather Tote covers all bases. I doubt very much if
Coach would have called it a Shoulder Shopper Tote.