superautobacs already said it. The first one will be supplied by Wezag, the second one i would say older Wezag production maybe they change from the classic style to the newer ?? Or its supplied (the Wezag one) now by another manufacturer and they don`t make them anymore (too many locking pliers manufacturers out there ??) ??
Looks a bit like this Rennsteig/Knipex one:
Unfortunately the Wezag PDF catalog
(click)+ site ***** . On the website you can see that the C-clamp also has a new style but i also have this plier which also has the old style:
a closer view
Some ways to differentiate between the manufacturers:
The design of the body. Spotwelded body at the thread or not. Of course the jaws and the knurling of the screw.
The "bars" which connect both body parts and the release levers.
Different release levers
Some are spot welded some are not welded. Note also the coarse knurling
"Rennsteig" in the first pic, 2nd pic: Knipex on top, "Garant" brand below (from Bollmann) (Knipex = Rennsteig)
www.knipex.com www.rennsteig.com
Surprisingly the "Orbis" brand pliers look like Bollmanns but Orbis belongs to Knipex like Rennsteig.
Orbis
"Urbo" locking pliers. Second pic from their website. Note the coarse knurling and the release lever.
www.urbo-werkzeuge.de PDF catalog
Gedore has some pliers stamped Austria and some are from Germany which looks like the Bollmann ones....
www.bollmanngrip.de
Austrian:
Gedore with the blue handle, the other one from Bollmann. On the lower jaw the Gedore one has the part number forged in , the Bollmann one "Chrom Vanadium"
Another mystery: Gedore and Bollmann both offer these pliers. But they have a bright/glossy nickel finish and look at the release lever and the coarse knurling. Look more like Wezag to me but they dont list them...
Some more confusion

All made by Gedore. First one Gedore brand second "Rahsol" (different jaws) third "Carolus" 4th Gedore again . (Carolus same as the Gedore one minus the forged inscriptions)
5 1/2", 7" and 10" from "Garant"/Bollmann
I once called Bollmann and they said that they don`t have their own forge because it`s too expensive to operate it. So similarities between jaw design and body design could be because maybe there is one supplier and the pliers are then just assembled. After a search i found the "Hartkopf" forge in Solingen/Germany with this interesting pic on their website:
I think you can see a pair of locking plier jaws...
www.hartkopf.de