Hey, so I met this girl at a party one time with a couple of friends of mine and we all had fun and this particular girl invited me and my other friends all to her own party she was having next week. By this time I was already attracted to her. Anyway before we went to her party the next week me and one of my friends saw her and her friends in week before the party and she kept touching my jumper and pulling dog hair off it which was on there from a friends dog and was complimenting my clothes and hair etc.. That night when I went to go home and was about to leave she ran up to me and hugged me and made me promise I visit her party that weekend.
So I went to her party and she was kind of aloof half the night until the night except right before I left when she came up and started hugging me and not wanting me to leave and being really affectionate but I had to leave so we were both joking around about it and eventually I left her party leading her out the door with my arm around her shoulders and hers around mine. After this night I decided how much I liked her and was going to ask her out and saw her with no boyfriend that night so assumed she was single too and my friends told me that I had a chance!
Then about a week or so passed and I hadn't seen her or her other friends so a friend of mine had messaged her trying to get her come hang around with us a group kind of thing, but she flaked and said she was tired. I then decided to grab her number off my friend seeing as me and her didn't exchange numbers already but somehow it just seemed like we were going to see each other soon so getting numbers didn't seem that pressing and I was waiting to see her move to ask her out and get her number. But anyway I got her number off my friend seeing as she was not feeling well and I hadn't seen her and after this I waited about 3-4 days later sent her a message as we still hadn't seen her and her friends and all wanted to catch up. After I sent her the first message she was very happy to hear from me and responded she wasn't going out tonight but wanted to catch up soon! So I left it for that night and ended up texting her the night after asking "When are we going to catch up?". To which she replied "Whenever I am free all week!

". So I invited her out Monday night that week but she was tired that night, then I waited until Wednesday and asked her again but she said she was still "tired" in the text so I got a little pissed off and started ignoring her but not before sending her a kind " Hope you feel better" I was polite about it but kinda pissed and also was not going to keep initaiting conversation and wanted to wait for her to. On Firday morning she responded and sent me a message asking to hang out with me on Friday but I was busy and could not get there on time. So I did go meet up with her and with one of my friends but I was late which she knew and things where weird, she was very quiet at first. But then at the end of the night she came right up to me and hugged me tightly and said she wanted for me and her to catch up in the week and do something fun. I agreed with her and we both went our seperate ways that night.
I then waited 3 days until Monday to see what she was doing. I texted her and me and some friends all caught up with each other at a comedy show, it was brief though. But she was still really happy to see me and was hugging me and stuff. However she left early with some Gay friend she had with her or at least people told me he was Gay ( I got worried it was a BF). When I realised she left I texted her asking when we where going to catch up again properly and she did not respond until the next morning saying "when the weather isn't so hot!". Now it is summer over here but for some reason when I got this message I got really annoyed and felt like she was being evasive. I mean every time she sees me she acts really happy and hugs me and says she wants to catch up.
But every time we go to organize something she seems to become nervous or evasive and makes little jokes and will never want to make an actual time or day it's always vague. So I called her out on her texts and asked her if she really wanted to hang out or was she just making excuses. It felt a bit harsh doing it but I was getting frustrated and starting to feel played and wanted to figure out the story. After asking her if she really wanted to hang out or was just making excuses, she sent a text message back apologizing say she really,truly wants to meet up and do something with me and she is sorry for making excuses. I responded by saying "Ok ok, I still want to hang out with you too" to which she responded " Good!

".
Anyway my question is, does this girl have high enough interest in me and is just being nervous and shy or does it seem like she is playing games for attention or already has a boyfriend and is stringing me along. Or is she interested in me as friends and trying to blow me off gently as not to lose my friendship. I really like this girl and am pretty sure she likes me too but need to know if I should just handle her differently if she is nervous or get rid of her if she is playing games and attention seeking. Thanks - MM