The Eureka Lemon does really well in our area.
I do not know the variety of the lime tree. The limes have a yellow skin but a green flesh. Their juice is tasty. My daughter and SIL gave it to us when they moved to the Pacific Northwest.
My favorite is the Meyer Lemon. There are lots of good things to bake with this wonderful juice!
I am participating in Outdoor Wednesday hosted by Susan at A Southern Daydreamer.