A woman dropped her purse on the ground, so I grabbed it and took it home.
Why would you steal her purse?
I thought that I will return the purse to her home.
It is good that you want to return the purse to its owner but you might scare her if you return it to her home. It would be better to return in a public space.
I just want to see her again.
I'm glad that you're doing the right thing, but you should try and contact her first. Maybe she has a number written down in the purse.