Before I give my thoughts… Given how different the two you posted are, it looks like you might be deciding based on price, and I think you should look at price later. First I think you really need to think about your preferences – what makes a photograph “really good” to you? go look at a lot of wedding photography blogs and see what images get your heart racing. do you love a dramatic black and white? stunning detail shots? beautifully lit posed portraits? candid captures of moments of true emotion?
what about editing style? do you like a sharp crisp clean look? a more matte or hazy look? do you want it to look like a magazine shoot? if so, which magazine? do you like lots of black and whites or prefer color?
and how is your venue / photography going to be? is your event taking place in the daytime and shots are outside? or is it a dimly lit church with no flash allowed?
These are important things to know. For me for example, I like a crisp clean look, with photos that really pop, and wanted someone who really knew their way around lighting as it may be dark and we might need some. What’s most important to me is to capture beautiful portraits of us with our loved ones, as well as images from the ceremony and toasts. So I chose someone whose editing style worked with that, who knows weddings inside and out as she does a ton, who has a professional level camera that can handle low light, and who has a lot of experience with off camera flash.
So my for preferences, neither of those photographers were appealing. The second, he had a lot of black & whites and did a lot of selective darkening/lightening for dramatic effect, some beautiful images, but not really my style preference. The first seems to be a “natural light” photogapher, almost no images she posted were taking indoors and the one that was looked a bit grainy which made me think she didn’t use a flash. She had a lot of detail shots, but to me those are not useful as they are pretty easy to get right, you can stage it however you want, your subject isn’t moving, etc. Also, her editing style seems to include a lot of haze which I know is popular right now but just isn’t my style preference, I like that pop!
But my preferences don’t matter! it’s yours that matter! Spend some time googling “wedding photography [name of your venue(s)] and see what photographers have done there and what looks good to you and what editing styles appeal to you and what types of photographs appeal and then look for someone strong in that. If you really love candids for example, you want someone who says they have a “photojournalistic” approach to weddings. If your venue is dark, avoid anyone who says they are a “natural light” photographer.
Hope that helps! good luck with your search!