What's the Name of That Book??? discussion

The dragon's were a red male possibly named Thorn? and a different colored female. The book was from the females POV. They had to cross a huge desert so hot it could cook dragons in their scales. The two dragons were considered young. The red dragons egg had been found in a battleground. The dragons had run away from their herd. The red dragon was introduced when the female was trying to look at a human? in a pit. the reached a castle at the end.

When did you read it or when was it published?
Picture book or chapter book?
Style of illustrations?
Cover?

A guess - The Dragon Prince by Vicki Blum?

https://www.worldcat.org/advancedsearch > Keywords: two dragons desert | Subject: fantasy | (Year: ??) | Juvenile | Fiction | Book | English

Lobstergirl wrote: "When did you read it or when was it published?
Picture book or chapter book?
Style of illustrations?
Cover?"
Yes that's it!