. I'm not sure!! what are you trying to say... is it that you are chatting with somebody online.. and then on the weekends there not available to chat.
.hmm.. is it called having a life..
. you know I'm sure you have one.
.. when she has time she chats.
when she doesn't she doesn't..
.. like if you are dating her in real life.
... and she's never available on the weekends.. and you knew she was going out clubbing with her friends..
. would you not break up with her.
. just saying.. move on..

Have you ever met her in person?

Did you both talk and decide to be in an exclusive relationship?

If not, then what she does with her time has nothing to do with you, your not her boyfriend.

Use the word "is" MORE often, if its not an inconvenience

If there is not a commitment established, cheating is a big accusation.
According to you, she's older, far away, has family to care for and is a completely different religion.
All of those things combined can make it difficult to find common ground.
You think she should have free time during the weekend. Often that's not the case. There could be chores or projects around the house that need attention. Children's sports or other activities. Any number of things. Have you tried asking her?
In any case, instead of assigning blame, take a look at yourself and the situation.
With her or anyone, are you secure in yourself? Are you a person who can trust in others or always suspicious? Have you made any effort to try to understand her perspective? In several important aspects of life?
Wish you the best in finding what you are looking for.

If you dont get what makes you happy in a relationship, why are you in it?

Sounds like the chips were stacked against this relationship from the start.

Dont invest energy in wanting her or the relationship to be different. it is what it is and if thats not good for you, move on with peace and friendship in your heart. no blame needs to be laid down. its not a match.

it was a rhetorical question.

A relationship is supposed to make you happy. That is the point. If it doesnt do that, you shouldnt be in it. Im assuming youve been communicating about your issues and what makes you unhappy.

It also sounds like you are in a different stage of life and dont understand hers. If she works full time, and raises children too, she's exhausted. The fact that you dont really seem to believe that tells me you arent ready to be in a relationship with such responsibilities.