I just have to brag a bit- I discovered Sweet Annie (Poa annua Artemisia, I think) several years ago in Louisiana. It grew profusely to about 6'. and when it started to bloom I would cut all the branches, hang them upside down and dry them. I still have some in a vase that are still very aromatic. I would keep some in every room to shake onto the carpet when I ran the vaccuum- it makes the room smell so fresh.!
When I moved to Florida I just could not get it to grow (seeds were the only source I found). When I moved here to WA I ordered seeds and winter sowed them on a windowsill. They are thriving and are beautiful. I will have an abundant harvest this year-several neighbors want to grow it.
I grew Sweet Annie once and just loved it, you're right about the aroma...it deserves the name!! I've also seen baskets with this woven into them. Although the seeds are gone there is still a faint scent.