Past simple or past continuous

Yesterday evening Mrs Taylor (water) the plants in her garden , while her cat, Billy, (play) nearby. Suddenly Billy (run) up a tree. Mrs Taylor (call) to Billy, but he (not/can) get down.So she (ring) the Fire Brigade. While she (wait) for them to arrive, she (try) to tempt him down with some fish. The Fire Brigade eventually (arrive) , (put) up their ladder and (rescue) Billy. Mrs Taylor was so pleased that she (invite) them to tea. While they (have) tea , they (not/ see) Billy go outside again and 10 minutes later as they (leave) they (run) him over and unfortunately (kill) him