I can't tell from the photo what number 1 is - out of focus and too close to see the leaves clearly. Is it evergreen? The leaves look pretty tatty as if they've come through the Winter. It looks shrubby or possibly a tree sucker or seedling. When posting pics it is useful to have a shot of the whole plant as well as close ups so we can see it's size and habit of growth. The second is a variety of Eunymous fortunei var. radicans. It will climb unaided if it meets a vertical surface otherwise it will creep along the ground. Whether it is invasive or not depends on where you live and what climate/soil conditions you have. It is evergreen and very hardy.

I just looked up Euonymus Alatus as you suggested, and you're absolutely right - that's exactly what I have in my backyard. Thank you very much for the insight! It is very helpful.

Here is a closeup of the first plant mentioned in my previous message. Image link:

Also wanted to add fertilizers are a big thing not to mention plant selection. You mention Hollies which most tend to do well here given a site that has a low PH and camellia/azalea style fertilizer or pinebark/straw mixed into planting. Sycamores like the Hollies differ. Many plant breeders that specilize in trees like Sycamores don't come from the south. So a sycamore from an offspring of say one around here thats lineage has been here 300 years will be much more well adapted than say the same tree that came out of Wisconsin. Sycamores also take a little while to get going and the beginning 10 years are more important than some trees "but I would argue that with just about every tree the first years are the most important "shaping, fertilizing properly, adequate water, withholding for natural drought cycle" Granted I am trying to espalier three southern magnolias keeping them in the 12 foot range at the moment :). Also if your in COSTAL Alabama it can vary wildly. EX gulf shores is zone 9 where Bay Minette is zone 8. Bay minette is mostly piney clay with not as much wind and has vastly different climates than Gulf Shores even though they are an hour away. There are a ton of microclimates here and figuring out your yards is the key here. Ex we get more west sun most people read full sun and think full sun. Full sun here isn't often the best for most stuff. Afternoon shade is....