I have had trouble with headaches, nausea, and reading for my whole life and have tried to explain to people that I am not faking my symptoms to get glasses. For some reason they thought I was just trying to get them to look cool after my eye exams stated I only was minorly farsighted. I tried using the over the counter magnifying lenses they call glasses, and they helped a little but my symptoms always returned before long. Finally now that I am out of college I was able to go to the optomotrist with my own money, and I don't know if the man was just a good professional or just willing to listen to me since i seemed to know what I was talking about, but I am finally feeling much better with my symptoms almost gone and excelling in life. I am only at a +.75 Rx but with all the time i've spent in front of the computer my whole life I've been reducing the amount of time that I could actually stair at something up close or read to the point where I could hardly do homework or read for 30 seconds at a time without completely straining my eyes and giving myself headaches and nausea. Luckly I had enough heart to barely get myself through Engineering college, but I know that I would reduced my anxiety and ideas that I was stupid if I had my glasses. Now that I have my glasses with the correct perscription I am finally able to work with well and not have headaches or feel sick multiple times a day.
Sorry for being long winded, but with how much kids required to stair at close items these days I know you will be saving your daughter from alot of anxiety and pain if you listen to her when she says that something is just not quite right.
If you feel that reading glasses are not necessary for you than with your Rx it's fine to not get them.
However, for your daughter who is in school and doing a lot of near tasks, like reading, it may benefit her to get reading glasses. For those who are farsighted near tasks are a bit more difficult. So yes she may tire of trying to focus her eyes on things that are close up.
No way I can tell if you were scammed. Generally optometrists prescribe glasses about 20% more than Eye MDs.
JCH MD