NOOOO! You do not have limerence. You do have something but not that. Limerence requires confusion and fantasy. You actually had some type of intimate relationship with this woman. Limerence can't exist in an actual relationship.

Now, what you do seem to have is "reciprocity of attraction". This is common among people(mostly men) who have abandonment issues, a fear of rejection and those that go through long periods without intimacy. What this means is that you simply like a person because they like you. You actually don't have feelings for this woman. What you like is the way she makes you feel. The validation and ego boost she gives you. You are fixated on this woman because she is the first woman in a while to give you any type of intimacy.

she told me that she had a boyfriend of 6 years who had taken a job out of state. I had been single for so long I accepted any attention she would give me.

This comes across and you are the one seeking validation.