Compliments are fine when they are warrented AND if you have no alterior motive.
Would you tell your neighbor thank you very much or that was so very thoughtful, if they cooked you a meal...or woukd you just say thanks and leave it at that? Use the neighborly kindness as a blueprint...
Also do not take the compliments from her as anything more right now either...again if you did something nice for your neighbor, you would have no expectation over any thank you back, correct?
