The morning glory vine is actually bind weed. It is a relative of the morning glory, but has such an extensive underground root system that it is very hard to eradicate. Here is a link to a university fact sheet on bindweed. One of the difficulties with using herbicides is isolating the bindweed from your desirable plants. The fact sheet suggests using roundup. Having experience with this, I usually paint the roundup on the leaves of the bindweed after I have put a tarp under the vine to isolate it. This works, but doesn't stop the roots from sending up more vines so you have to keep after it.
I don't know the name of the other weed, but I have plenty of it. if your soil is loose, you can pull it up. If not, soak the area by running a hose on low on it for a while, then loosen the soil with a hand spade and then see if you can pull it up. Otherwise you can paint it with roundup.

Hi. The "Other Weed" in my opinion, could possibly be a member of the "Sticky Weed" family. Just taking a wild guess based upon my continuing research. Most of these weeds are coming up in my lawn so no use of round-up due to killing the grass. Way to hard to pull them out. I continue to try different  solutions. I believe the stuff you mix with a gallon of water and put in a sprayer that kills clover, chickweed and similar is something that might work. Please see Ortho's Product for this. Kills chickweed, oxalis, and clover. Please advise your thoughts. Thank you.

There is now a Roundup that is formulated specifically for lawns. It says LAWN on the container. It is actually a broad leaf weed killer similar to the Ortho product for lawns. I agree that you can't easily pull weeds that are in the grass. Next spring, try a pre-emergent weed killer like Preen. It at least stops most annual weed seeds from sprouting.
Penn State has an excellent website on home lawn care. Here is a link to the index page. You can find useful information there for weed control as well as what to do to get a great lawn.