English makers 1st half 20th century

These 2 small "Staunton" sets of unknown makers are in the collection a long time, but not published till now. I believe they are English and made in 1st half of 20th century. Not 100% sure about origin however.

The 1st set is weighted and felted, has 1 black pawn replaced and some damages. It has beautiful knights in the old Cook style. The 2nd set is not weighted nor felted and has no damages. Knights do resemble the French Lardy pattern. Could that set be French?