Magic or Not? by Edward Eager

When Laura and her twin brother James move to the country from New York City, a neighbor tells them their new house comes with a wishing well. When Laura wishes for a kitten and finds two by the well the next morning, they begin to wonder if the magic is real or only coincidence. Two new friends, Lydia and Kip, are willing to help them find out! The real magic in this book comes from the friendships they develop with the most unlikely people. I loved Edward Eager's style of writing; he has a great sense of humor. This book was written in 1959, when children were allowed to go off all day on unsupervised adventures, even hitchhiking into town!
Caution: A brief appearance by a ghost (or is it a ghost?)