I realise this is an older posting, but I just had to say that is a very pretty doily. Your "stitches" are so even. Just beatuiful.
My grandma taught me to tat when I was 9 or 10 years old. She tried to teach all the granddaughters (all 9 of us) how to knit.
We all made afgans for our barbie dolls, only mine ended up as a scarf for barbie because I just couldn't get the knitting down. It was all knots. After about a month of trying, grandma decided to teach me how to tat instead. And that skill took. I have been tatting off and on ever since. It is mostly a winter task for me, never enough time in the summer.
I recently picked up a book on tatting easter eggs! It's actually just two little doilies that you put on each end of the boiled egg and then stitch together, but they sure took cute! I am going to blow some eggs, dye them, seal them with poly, and then put the tatting on them.
I have found how-to books at the local library on tatting. It's a good place to start your search if you have the shuttles and want to learn.