Verb conjugation of "feilschen" in German

I grabbed a burger from an American fast food chain and swallowed it immediately, as I had not eaten for a while. I boarded the machine and could feel a slight stomachache but decided to ignore.
I was a little confused because I recognized the voice and I had booked at Luisa's guest house. She explained me that she was sharing the phone with her neighbor and her neighbor was not honest.
After a short guided tour we came back to pick up our luggage and left to the airport. When the airplane took off it was already dark outside. We were surprised about the airline's good condition and service.