His works, rightly synchronizing with his audience's needs, often centred around themes of lost love, misunderstanding, and moral dilemmas, all of which resonates in 'The Browning Version.' 

An Old Harrovian himself, Rattigan used his understanding of the English Public School system to infuse authentic flavour into his storytelling.

Detailed Analysis

'The Browning Version' is set in an English public school where Andrew Crocker-Harris, a teacher of classics, is forced into an early retirement due to his declining health.

 His personal life, coupled with an unaffectionate wife Millie and professional life marked by unappreciative students, indicates the decline of Crocker-Harris as a character both professionally and personally.

Rattigan intricately weaves the play's dialogue and the character trajectories to bring out a powerful narrative of drama, regret, and self-realization. His mastery of words is evident in the way he employs nuances of language and dialogue to offer depth to the characters.

Theme

The central theme of 'The Browning Version' revolves around self-discovery. Throughout the play, Andrew Crocker-Harris journeys from a place of despair and self-deprecation to one of self-recognition and acceptance. Rattigan also explores themes of betrayal, alienation, and redemption, infusing the narrative with emotional richness.

Realizing that his wife's love is unfaithful and his students see him as a figure of mockery, Crocker-Harris is endowed with a sense of alienation. This forms a critical part of the overarching theme as it allows him to re-evaluate his life and re-discover himself.

In addition, betrayal plays a significant part as Rattigan portrays the personal and professional betrayals that Crocker-Harris experiences. Having devoted his life to teaching, Crocker-Harris's pain when students ridicule him and his wife's infidelity provides a critical emotional underpinning.
At the crux, the theme of redemption shines as a beacon of hope amidst the challenges. 

Crocker-Harris's redemption comes in the form of a student, Taplow, who, in a heartfelt gesture of empathy, offers him a book - Robert Browning's translation of the 'Agamemnon.' This incident acts as a turning point that propels Crocker-Harris towards redemption and self-awareness.

Message, Morals, and Values

Embedded within 'The Browning Version,' Rattigan's message is one of resilience and dignity in the face of adversity. Despite the adversities that Crocker-Harris faces, he remains stoic and dignified. This integrity forms the bedrock of Rattigan's message — portraying strength of character in the face of trials.

Rattigan also conveys a crucial message that it's essential to confront one's reality, accept it, and strive towards change — a route towards redemption that Crocker-Harris embarks upon.
The morals and values advocated in the play revolve around honesty, appreciation, empathy, humility, and personal growth. Rattigan emphasizes the value of authenticity with characters like Taplow, who display sincere feelings and earn respect. Millie's dishonesty and deceit, by contrast, bring misery and cause damage.

 Conclusion

 'The Browning Version,' is a striking representation of Terence Rattigan's incredibly soulful storytelling that communicates a saga of human emotions. The play, a powerful narrative set amidst the English Public School, impressively weaves together themes of betrayal, self-discovery, and redemption that contribute to the key messages, values, and morals identified in the play.