My uncle married a women and after some time they feel like she might be schizo but we arent sure yet . 

There are a lot of problems but the main 2 problems are as follow:

1) She accused my uncle's mom for hitting her, when my uncle's mom didn't even touch her 

2) My aunt offered something to her and she agreed on it, later on after couple mins she turns back on her word and says that she never told her to do that.

These 2 issues have a created a real issue within the family, obviously because accusing an old grandma in her 70s of hitting you, and then straight up lying on my aunt's face..

Do people who suffer from schizo tend to have similar issues?

our goal is to only try and figure out if she is just a bad person or that she is actually suffering from schizo. 

She also tends to be aggressive at times, she cries alot randomly, she dreams alot and speaks in her dreams