I'm the RS secretary and I am serving with my 3rd RS president. The previous 2 presidents used me a lot and I was busy. This current president hardly ever asks me to do anything........she only just now started letting me take notes for her in the meetings. I had to ask her to remember that she has me to call on for help.
Some people like to do things themselves, some women feel guilty for putting others "out" by asking. I would ask her if there are things that she could use help with that she may not have thought of. Sometimes people who have been doing one calling for years know it inside and out and either don't want to share the work or don't know how to? maybe she has control issues
Or maybe she just needs to know that you are dependable and she needs to get used to calling on you.
I'm just guessing. Bless you for wanting to do more!