Plant id help!

Plant id help!

I am visiting my mother in Bowling Green, KY (Zone 6?) and she has a beautiful front garden area that she inherited from the previous homeowners. She has lived here for a little over 3 years now and she doesn't know what most of the plants in the garden are. Fact is, she hardly takes care of the garden but when I come down I always putz around in it wishing I had half the flowers she had! Anyways, I asked my mom what these plants were and she had no idea so I come to you guys to help me out! I have no clue either! 1. Mystery plant! This seems to act like ground cover that spreads. It is beautiful and it pops up everywhere in her flower beds. 2. Mystery plant! My mom has 4 of these bushes spread out in her garden. 3. Mystery plant! The bright green shoots coming out of the ground. Not sure what this is! 4. Mystery plant! The ground-cover that mostly takes up this picture. Thank you for your help in identifying these plants! It is much appreciated!
Mom’s Sculpture Garden

Mom’s Sculpture Garden

apartment pics-rearanging the liv. rm

apartment pics-rearanging the liv. rm

FINALLY!

FINALLY!

Aliens!

Aliens!

Flower Id’s?

Flower Id’s?

What’s this new visitor?

What’s this new visitor?