So a neighbour (from the next street over, houses back and across one) came to introduce herself, husband and daughter one Saturday afternoon to explain that our cat. (I live with husband and 3 kids under 10 + cat) Sometimes visited their house, and was often there during the day when we are all out. They stayed on the doorstep way too long for people randomly introducing themselves and asked so many questions about our cat and lives (her breed, whether she has a cat flap) but thought that they were maybe looking for friends for their daughter. When they left I thought it a bit odd but I was genuinely planning to invite them over/thinking of playdates. I did feel a bit weird about the cat being there but what was the harm, she works from home, we're out? Then we started to see less and less and less of our cat, she started going missing for days at a time and my daughters are getting more and more upset everyday.