Mine was a Coach bag, too! I don't know the name, but it was a navy shoulderbag in a beautiful shiny leather, with a double stringed shoulder strap. I haven't used it in ages because it's so small, but at the time, it was perfect!
My first Designer Handbag was my Chanel black m/l classic flap in caviar leather with silver hw... I got it three and a half years ago and still love it to pieces!!!
My first "designer" bag was Dooney & Bourke. At the time (middle school) I thought $100+ was expensive! My first real designer bag was LV and I probably got that in college.
My first designer bag that I bought was a Chanel bag - back before all the crazy price increases - I paid £300 on ebay and thought it cost me a fortune (LOL). Great condition as well.
the first ever designer bag I had was a Prada nylon bag my mother handed down to me.
A Louis Vuitton monogram speedy 25 from Forum Shops Las Vegas in July 2003 - oh dear how I was OBSESSED with that bag and my collection has just has spiraled out of control since...