That sounds great! My second child is also 15 months.
Give her everything you eat, but soften it or cut it. Steam hard veggies like carrots and slice round things lentgh sies (for instance I quarter grapes and cherry tomatoes) and I musch peas and corn very slightly with a fork so thay aren't little balls but more like little pancakes. Avoid stringy food like celery. I break apart meat with my fingers.
My daughter's favorites are oatmeal (regular, not baby), cereal, yogurt, cottage cheese, applesauce, peas, any fruit, pasta, and crackers. So, basically, every meal I give her some of these things and offer her from our main meal to supplement. I save the fruit for last so that she fills up on whole grains and veggies first. She gets whole milk dairy, I will graduate to skim by the time she turns three.
I always made purees, and I really don't buy any. But I do keep some purees on hand and some jar food for travel or quick meals. She likes Earth Best Lentils & Rice and Spinach and Potatos, frankly things I don't make at home. Soup and cold cuts are also a quick option or eacy to get at a restaurant, but they are high in salt so I try to avoid. I would avoid the processed foods like Graduates for the same reason and ice cream for the sugar, altough a taste from a spoon is fine. At a restaurant, ask the server to bring some cut up tomato or avacado, which they will often do for free.
Just my thoughts. Sounds like she is good - if she is meating her developmental milestones and getting enough milk fat for brain development, then I wouldn't worry. I have heard of some people giving formula into the second year (like one cup per day), but you would have to check wiht your ped on that. She will go through (lots of) phases where she focuses on just one or two foods she likes, so just keep offering and one day she will surprise you and eat something you don't expect. They change so much and so quickly at this age.