I would like to thank you all for the advice you have given.
Firstly I have discovered a new tool, RTT website which is very helpful and for helping me discover my fault in my journey.
I fully accept I made a mistake in seeing the first train to Birmingham as the one I required, not even considering there may be another one timed so close. In my defence I was rushed, stressed by the London rat race (a major contributing factor to my relocation away from the city) and still upset from the previous day.
I will write directly to LM to recede my complaint and furthermore offer deepest apologies for the misunderstanding on my part.
Thank you all again for your sound advice.
Yours,
VampArmand