Did i do the right thing? plz help!?

ok so me and this girl i met at work started as friends and about 5 months i told her i like her and she also liked me so we had been going out ever since and basically we were together but not official, she had took me home and introduced to her daughter and family and on valentines i got her flowers and a bear deliver to her other job and we went out for dinner so then the next 3 days we were still talking but all of a sudden she stopped i would txt her and she wouldnt reply and i noticed she would kinda flirt with this other guy on fb, so last sunday i took her home and i told her why wasent she responding to my txt's and she said shes been having problems with her phone and on the way she was grabbing my hand in the car and calling me babe, so then that sunday i called her and we talked for like 5 minutes, so the next day i txt her goodmorning and she txt me and i txt her back and she didnt reply and for the days she was wrting on fb "cant stop thinkin about u" cant wait to fall in ,love with u" and things like that, like if it was nottin and she was all up on some guy all of a sudden like nottin,they were like flirting on fb all of the sudden, so we didnt talk and this past weeknd at work i jus ignore her and she told her mom(who also works at the same job) and her mom was asking me y i wasent talking to her and she would just look at me, and when she saw i was ignoring her she went and posted on the guys page "miss you" then the next morning she erased it and on sunday she was writting "i want to say sorry but i cant" and that her pride was to much for her conciouus to say sorry and things like that and she just delete me on fb, so what am saying is why would she make it so obious that she was talking to someone fb and put things up like that like if it was nottin and i just seen on fb that the guy posted that hes in a relationship with her but she hasent. so this weekend i just ignore her and her mom ask me if she was my enemy and i didnt say anything else and later another co worker asked me if she was my gf and i said no and he said why not and i didnt say nothing andjust walked away. so she txt me yesterday and this is what she say " i meant to say this personal but i was to scared, i wanted to call you but i thought ill sound stupid, so i know am doing it the cowardly way but i just want to say im sorry for all the wrong i did to you, i had to say it cuz it was eating me inside, u deserve better than all this ok, take care and thanks for everything you did to me" so i didnt txt her back, was that the right thing to do? so i lnow them both are dating cuz i seen she calls him babe on fb and today her sister send me a friend request on facebook which i have nerver met or really talk to in person. so wazzup with this? plz help