Lesbian relationship advice?

Ok here is the story me and my fiancé (currently ex as of a couple days ago) have been together for almost two years she broke up with me a day before our two year anniversary. We met online, I lived in California at the time cause of my job and she live in a different state. We talked so much online and on the phone we fell in love with each other before we even met in person. I know it sounds a little weird almost like a fairy tale, but it was awesome things couldn't have been better. So basically after four or five months of us talking she decides to come out to California and visit me for a couple days. It was amazing we fell deeper in love with each other. A month or so after that I took a flight to go see her, I visited for a little over a week. Things were still going great between us we had so much in common. I met her family and they liked me. She has not met my family yet, because I have not came out to my family as being in a relationship with another woman. So anyways I go back to Cali and we continue to talk and we decide that she should move out there and we can get a place together. Still everything is great.We have talked about each others past and she told me about her ex and told me that she had a bad relationship with her ex and being abused.She told me that she was never in love with her ex, but she was only with her because of her ex's two little kids. They are not theirs together her ex had one before her and when they got together she was pregnant with the second. He ex always throws in her face that she is never to see the kids anymore, she does that anytime they disagree on things.My ex feels that she has a attachment to these kids and her ex knows that and knows she can get to her by using the kids and she always never wanted us together. They say they are just friends now. But I told her that if we are going to make it you need to live your ex and the kids out of our relationship so we can get on with our lives and start our own family.So back to where I was....We ended up moving back to where she was from and where I lived before going to Cali. We stayed at her moms for awhile and then got our own place.We have been getting into a lot of arguments since we moved back to where she is from, most of the time we got over them. She works full time and I go to school full time, that was the arrangement and in January along with schooling I was going back to work. Everything was fine with that. So within the last few months of our relationship it has been slowly declining she even said she fell out of love with me. I am still madly in love with her, and as of a few weeks ago she said she is in love with me and see us having a future. But about a week ago I found out she has been texting her ex off her work cell, she said she only does that to talk with the two little kids, when the kids aren’t even old enough to know how to text..hmm??? Her ex always try to start fights with me, her ex went as far as posting a blog about how my ex and her had sex in the bathroom while me and her were together. She said this was false, I believed her, my ex said that she was just trying to piss me off.She said she has to get to her to talk with the kids. She even went as far as wanting to have weekend visitation with the two little kids at the place we shared. I disagreed because I know how her ex is and she just wants her back in her life, but yet she is so unpredictable that she will through it in my ex’s face once she starts seeing the kids that nope, it’s not going to happen anymore. She says I am the only one for her and no one could ever take my place and she is not going to be with anyone else.I am confused; I would like as much advice as people can offerDo I still try and be with her?Is she right?Should she still be friends with the ex and her kids?

Walk away