Please please definitely talk to her about the transference. It will open up a whole new part of your relationship and you will find out SO much about yourself and where these feelings come from.

I have maternal transference with my T. and it took me a long time to tell her and I was SOOOOO embarrassed. I too knew the word and told her I had a lot of feelings towards her. It really probably took me the entire session to peep out that my feelings are strong like towards a mother. She asked if I had heard of transference and I said yes. She asked me 4 times over the next few sessions how I knew that word. LOL I told her it comes up when you google "feelings for your therapist". The transference has been the core of my therapy for the past 10 months. My brother is a psychologist and he told me once "hasn't she told you that means the therapy is working". I said NO! When I told her this she said my brother probably doesn't tell his patients either. Most T's know it's happening before the client.

Once I got that out, we've discussed my needs (ugh, I used to hate that word since it made me feel 7 years old), how they weren't met when I was younger and I treat/interact with my T. just like I did my mom. So, she's getting to see my incorrect thought/behavior patterns when I think it's all about my T.

My transference is less but it comes in waves. As I get closer to difficult subjects, it gets more intense and my needs come up more.

I can't stress enough how important it is to tell her. You will feel so much better and then you can tell her that you don't like that she has children. The two of you will explore why and it might even cause her to tell you how it doesn't matter that she does - she still cares about you.

Also, maybe you can get an earlier appointment with her?
oh, and if you think you might have a hard time telling her, then write it down for either you to read or for her to read. You can do it!!!!

And, unfortunately with maternal transference, it will be hard for others (other than here on PC) to understand unless you also explain what transference is. I've explained to 3 friends and they have found it fascinating and they help me realize when I'm treating my T. like my mom and not like her. I always think my T. doesn't care about me which is one big issue.