Would children have a higher chance of being tall if their mother is tall, despite the father's height?

Absolutely. Why?

Because the 3 strongest determinants of height are genetic potential, nutrition and exercise.

Whose genetic potential?

Your parents. Which parent? Both of them or to be more correct "all of them."

What does that mean? Your parents, their parents and so on ect.

Are genes sexist? No. At least not in this particular instance...

Are there other determinants of height? Yes.

Environmental concerns & disease but let's assume you don't live near a toxic waste dump and mom didn't do naughty things while pregnant.

It depends on the genes they get, but yes, it's possible. They also need to be sure to eat healthy, not smoke anything, get lots of rest, and exercise. Those also influence height.

Male, probably.

I can't picture a male ending up shorter than his mom.

I mean it does happen, but probably because they weren't healthy.

Yes.