If a pet has a jewel affixed, (for example the +65 strength jewel) and is then hatched with another pet. Will the stats of the jewel be taken into consideration of the stats of the hatched pet?
A pet can only pass on the talents and stats that it originally hatched with. If it happens to have a talent that adds strength (like Rugged, +40 strength), then that talent might be passed on to a baby. But you can't breed a gem talent.
A gem is something that YOU added to its collar, and collars are like clothing.