There is no birth registered for a Thomas Percival MORGAN anywhere in England or Wales - the closest I can see are these, although none matches very well with the info you have:
Thomas Percy MORGAN
S - Jun Q 1910 (Haverfordwest 11a 1478)
Percy Thomas MORGAN - Sep Q 1899 (Fulham 1a 258)
Percival Thomas MORGAN - Dec Q 1905 (Haverfordwest 11a 1253)
There doesn't seem to be a marriage for his parents in England/Wales either.

Rambler