Sparkle does this, if she is over hungry and hence ate too fast. Soon after throwing up, she has to go eat again.

So, Lily is getting over hungry between feedings, and ends up eating her breakfast really quickly, probably hardly stopping to chew it. She may also be eating too much as she is so hungry.

The only way I could address this with Sparkle is, she now sleeps overnight in the bedroom with the door closed, and a full bowl of food. So she has food and can eat when she wants all night long. She doesn't like this solution, as Sparkle prefers to sleep on my bed snuggled up with me all night. But any time we try this, she ends up waking me up to feed her, eating too much too fast, and throwing it up.