Problem: Continue the following story.

Mary had less money left over than Lindsey because 
Here's how I want to continue it: Lindsey had followed their budget more closely.

Problem: Continue the following story.

A cat was given to Rebecca by Mary because 
Here's how I want to continue it: Mary had just found a cat.

Problem: Continue the following story.

Lawrence did their best to protect Aaron from the darkness in life, but 
Here's how I want to continue it:
Lawrence ultimately failed.