Hi Magdalena
I am so sorry for taking this long to respond. I took on a project for my sister and bit off more than I could chew. I had no time for anything else.
Regards your George Wigley. Was he the: Wigley, George James Esq: Pier St. and the same "clerk to the magistrates, the Aberayron Union, Pier St, Nobility Gentry & clergy? I had that scribbled down in my notes, I am not sure where I dug that up from. My brain is still glug from all the work I have been doing so I hope it will come to me later.
There is a clue somewhere within Alban's name. Either he was so christened because the names "Alban & Beaufoy" were given to him in honor of past early Lords or Military men of Wales, ie someone called "? de Beaufoy" or "Alban de ?" Could Beaufoy be a place name? Or else it was the surname of his mother, or a grandmother? Could she be a Cordelia Beaufoy?
The French theme comes up with the Clunne's as well, with a great uncle George telling my mother-in-law that they had come from France, and even had a Castle there...

This uncle has made contact with the family during the first War, and he was in France as well - he returned to Australia with Jewellery the family gave him. He was a Printer/Journalist. Trouble is he died without anyone asking where the family were...we were just not interested back then. We are a lay back lot aren't we?
:-\I found the remains of the Cluny Monastery near Macon, founder in 910, then demolished during the French Revolution c1790. (repaired later to a less than former glory) There were 1500 such monasteries around the World - most places where such Churches had stood, were most likely still called Cluny even after the Reformation.
Your George would have been born into a world of War, as the French/Napoleonic Wars commenced c1792 and went to 1815, so perhaps he was drawn into the War at a young age...maybe he was not fond of hearing his little son speak in French for that reason alone. And the world got worse after the Wars stopped, because the place went into dreadful depression.
I am checking out a family of Pryse Clunne's around Montgomery (Llanidloes) etc. as well, as I am thinking they might have had something to do with the same names who turned up in London.
Keep in touch and let me know what transpires and I will let you know if I find any sort of connection to yours
MC