MIL advise. Should I give up?

Okay, here we go. My mother in law left my husband when he was 6 years old and and moved 16 hrs away. Other than a week or two of the year here and there he never saw her. After we got married she got really jelous, demanding he call her more twice a week. To me that's fine, I call my family throughout the day no problem, but he just didn't want to talk to her. Trying to stay on her good side I would make him call her, dial the number and hand it to him remind him constantly, that still was not good enough for her. She made it out like i was keeping them apart. I saw the strain it put on him, and our marriage. So i have no interference in their relationship, I mean after all I'm his wife. It's not my job to force him to do things. I will text her once a week, just to see how she is and let her know I'm thinking about her, but never once does she say, and how are you? How is work? How is the new house coming along? When I take it upon myself to inform her, we ordered this, installed this, the walls are gonna be this color...she just says great. She does not try to keep the conversation going what so ever, and when I keep it going she doesn't reply... & she'll go to his brothers and tell them we never talk to her...Should I just stop having anything to do with her all together, I mean she clearly doesn't care about me? What should I do?