Hm. This wasn't too bad. I sort of understood what was going on here (you're using an AdultShipping scenario, if I'm not mistaken). But frankly, it was kind of hard to understand what was going on. There were lots of words left out, as well as phrases and sentences that I just couldn't understand. For instance:
(After her father Samuel. Because he nickname was Sammy and that was her nickname too.)
First of all, the nickname you gave was "Sasami", and I don't see how that relates to "Sammy" very well. I get the part about Sammy being Oak's nickname (as he's Professor Samuel Oak). But are you saying that Sammy was Professor Ivy's name, as well? I believe her name was Felina...
Also, make sure you edit and check for grammar before you post your chapters. I noticed quite a few instances where you had typos, forgot words, and other related errors. It makes this sort of thing very hard to read, so it's worth your time to go through and edit. Trust me, good editing can make all the difference.
Other than that, this looks alright. I've never heard a definite name given for Delia's husband, so that's fairly creative. And I also didn't think about Delia having the affair with Oak while her husband was still around. For some reason, that never crossed my mind. Some uniqueness there with the other child, too. That was interesting. Keep working on it, and be sure to edit!