My wife is at the school with my daughter playing at the playground after school and she hears a few kids talking about our daughter and say she is "a little weird". My wife is a bit unsettled by this (she seems oblivious to our daughter's pro's and con's). I'm like, "yeah, she is". She is several standard deviations from the mean! But she is sharp, very intelligent, but a bit slower on the maturity, a lot due to her brain just being way too much for her to control. The medication has helped a lot with her behavior in class. In the micromanagement days of color for every student every day regarding behavior, she went from rainbow, but weighing more heavily towards naughty last year to generally being good, at worst. I had forgotten her medicine on two consecutive days, and her color score showed it.
But yeah, she is definitely absorbed in her own interpretation of the world. Barking at squirrels (she loves the Paw Patrol, though really outgrowing the show, though not the toys, which is fine) and just doing weird things. I try to tell my daughter that we need to get within 5 standard deviations of normal. I don't try to reel her in too much, because I understand this is about how she sees things, so for me it is about curbing wildly eccentric behavior (please stop barking) and accepting the rest.
Finally getting her into speech therapy. This year obviously was off on things, and was hoping her speech would improve, but it really hasn't and she continues making the same mistakes. Some of it is apparently oral issues with the tongue, others are her attentiveness for being too quick (the quick thing was a problem I had... she seems to have inherited a lot from me). Hoping with the speech therapy, her communication will help with the "weirdness" thing because if her peers can't understand her, yeah, that'll make them feel uncomfortable.
Speech therapy will be good for her and will likely knock off some of the 'weirdness' that other kids commented on. But she sounds very, very bright and creative and there is nothing wrong with being 'weird.' In fact, among certain groups of kids, weird is a highly respected trait. As she gets older, she will find her tribe. I think that in today's world, we too often embrace the mass produced thing over what is unique. We praise average and mainstream over creative and unique. Of course, we all have to find ways to fit into our world, into society but it should not be at the expense of being an individual. And of course, we as parents always want to protect our kids, eliminate whatever obstacles there might be. Sometimes, though, I think we're better if we teach our kids to surmount obstacles and better, which to surmount, which to ignore, which to avoid.
You sound like an amazing parent and your daughter is lucky to have you. She sounds bright and imaginative and creative. Maybe a little weird but???? I do understand you not wanting her to attract negative attention and to fit in. Barking at squirrels sounds..funny, not weird, to me. But I do understand. One of my nieces used to like to wear dog collars and leashes and would go under tables at preschool and bark at kids and the teacher. She was a perfectly lovely child with wonderful parents and a loving extended family and is a wonderful young woman, much more on the quiet side, with a bit of quirk if you are lucky enough to know her, much like her parents who are very, very quiet people but smart and funny, too. Still, wanting to wear dog collars and leashes at preschool does send up some red flags. Fortunately this was outgrown rather quickly. (Yes, they had a dog at home who wore a leash and collar and was occasionally kenneled...The dog was there when she was born so maybe she was imitating her 'older sibling?' Who knows? It's just another weird story to tease someone with, just as we like to tease my older sibling who was pronounced upon her initial visit with the pediatrician to be perhaps mentally retarded because her head was oddly shaped --through the birth process. Actually she holds advanced degrees in physics and mathematics. My father snatched her off the exam table, dared the doctor to bill them for the visit and never took any of us to a pediatrician again. But it's a funny story. Now.).
To varying degrees, most of us are weird in some way. To me, what is weird is shaving off and grinding down all of the sharp edges and fluffy bits and curliques in order to fit into some perfectly shaped cube dubbed normal. Or, as Oscar Wilde once noted: Be yourself. Everyone else is already taken. And to be honest, there is among some women, an entire movement and even industry on being your authentic self--letting go of unreasonable and undesirable expectations that are often placed on women.
But I understand: she has to get through school and hopefully make some friends and not distress teachers or distract them from addressing her academic and creative needs, which I would imagine are accelerated.
Since you mentioned chapter books, I'm sure you're already on to EB White's Charlotte's Web and Stuart Little and similar books that are well written and beloved by generations. Maurice Sendak has some funny books, but one which may or may not seem good for your daughter would be Really Rosie which has the benefit of being also a recorded musical.
The Hundred Dresses is excellent. So is almost anything Roald Dahl (although a bit scary/creepy), especially Matilda and The BFG. I myself was exceptionally fond of all kinds of myths and legends from all over the world, and of fairy tales, which are usually entertaining and often carry good lessons about kindness, diligence, faithfulness.
But I'm an old fart now and I'm sure there are many more modern books out there was well.
Speech therapy is a good idea but it's also not a big deal. Lots of kids need a bit of speech therapy at her age.