Depressed Spouse Wants Separation: Parents Aren't Understanding

Long story short my wife and I are currently separated and I'm living back home with my parents. We got separated because she was afraid she had lost the spark of our marriage, but once we were separated she realized she was deeply depressed and sought help. She is on antidepressants and just got her dose doubled so hopefully it will now fully kick in.
Although I don't understand why she wants to be alone, I do understand that it is what she wants and I'm trying to be accommodating for her and not question her logic. For full disclosure I have some delusional jealousy issues and ocd but am also on medication and feel much better.
However, my parents are not being understanding. They constantly question me about her, and everything she posts on Facebook. I have trust issues so I decided a while ago Facebook wasn't mentally healthy for me. My dad always asks if she has a new boyfriend, because there is one older guy who comments on pictures but she's very open about him. My mom also gets upset when she posts any pictures where she's smiling or seems happy because she thinks she should be sad all the time since she's depressed. My dad thinks I should give her a three day ultimatum but I am not that guy.
We're working on our relationship and text and call a lot and go on a date every few nights. She gets very physically and emotionally drained and goes right to bed afterwards. Although it sucks because I want to be with her constantly, I understand I've messed up in the past and she is working on her mental health issues. I guess I really need to vent and maybe get some support. I'm trying to be supportive of her and her mental health needs, but my parents are quite the opposite and it's wearing me down.

Sounds like you are a very understanding, caring, and patient person. Depression is a very difficult thing to deal with. I am very glad she is getting help. You are wise to stay away from the facebook thing and not ocd on it. Those of us who suffer from depression real bad tend to want to isolate and not see anyone, or we feel like we are a burden to everyone. I hope she feels better soon and you can patch things up. To bad your parents are not more supportive. Many people don't understand mental illness.

Thank you for your support, even though I don't know you it is great to know that people think I am trying to do the right thing and give her the space she needs. I am also confused because I still have a strong desire to be with her and it is so hard not to try to hold her hand or give her a kiss when I am with her, but I do not want to move too quickly between us. I have done plenty to make her situation worse by failing to get my own issues under control, but I am trying to focus on improving myself for her and for us.

I'm not sure if this would be too awkward, but could you ask her to block your parents? And have you told your parents directly that the topic is off limits? That sounds like a really difficult situation. I'm glad you are both doing so much to take care of yourselves and hope you can reconcile soon.