You have my sympathy, it must be hard, but I think you are milking it a bit as you claim not to have another adult to speak to even though you live with your parents, because they work long hours.
You do live with them though, so they are there to watch your dc when they are at home. Many people have partners who work long hours, travel for work, or are in the forces so probably have less adult company than you do. Not a competitive misery thing, just pointing out your situation although not ideal is not as isolated as you might think.
I'm lucky, I have a partner who is there for his child, but like your parents he works long hours, and he travels, so I can go days, sometimes weeks without speaking to another adult, and I have noone to watch dd as my family live overseas. I also never get to go to the loo in private, or eat a meal without either a baby latched on or squealing at me. I am better off than you, yes, but company wise I probably have less than you do. It's how life is these days, the culture of a 9am-5pm job is pretty much gone.
Try looking at the positives. You have a child, you have your parents, you have somewhere to live, and you have the lovely MNers to chat to. Life isn't so bad. Other people's lives may seem better, but you don't know what their life really is like behind closed doors. One of my best friends has the best of everything, money, career, a nanny, gorgeous twin boys, loads of friends, expensive holidays... the works. I know she's rather have her mum, who died last year.