She will always be the first to initiate conversation on text without fail. Since meeting her and going on a few dates with her, she has mostly always kept the connection alive on text as I'm not huge on it.
Recently, I've noticed she has initiated conversation but is giving short replies. Like one or two words responses. I'm putting effort into what I say but she is seemingly half assing?
As I told you on 29 November, texting is a pathetic way of conducting any relationship. Even if she texts you then, unless a simple yes/no answer is really all that's needed, DON'T text her back but, instead, CALL her! You'll then be able to gauge the tone of her voice and to tell whether she's delighted by your call or simply wanting to get you off the line as quickly as possible. (That sort of information simply can't be conveyed by text!)
No, she is disrespecting you if she continues texting while she is out with you. I`d avoid someone who does that as she seems to have difficulties with the real world.