Factual error: Crown Court is referred to; unfortunately they didn't come into existence until 1972, nearly 20 years later. At the time of Father Brown they were 'Assizes'.
The Crackpot of the Empire - S4-E4
Continuity mistake: When Eve gives Jacob a ride in her car, she says "Sorry for the bare feet, I can't drive in heels." She has no nylons on. When they get to the old building, Eve gets out of the car wearing black nylons and heels.
The Daughter of Autolycus - S4-E5
Other mistake: Lady Felicia says "Ah, Father, how very propitious." The subtitles say "Ah, Father, how very capricious." (00:03:10)
Factual error: Albert Garrity tells Father Brown about himself and his late wife meeting "Mr and Mrs Weston" on Mayday bank holiday in 1931 and it was the wettest mayday for twenty five years. Mayday wasn't made a bank holiday until 1978.
The Sins of the Father - S4-E9
Factual error: Lady Felicia is asked to sing a song she would sing in church and chose "Morning Has Broken," most lately associated with Cat Stevens, but here's the catch: Prior to Cat Stevens' rework of the 1931 English children's hymn's lyrics (by Eleanor Farjeon) to the tune of old Scottish children's hymn sang in the old Gaelic: "Child in a manger, Infant of Mary, " based on a melody called "Bunessan" (written by Mary MacDonald), the 2 hymns' lyrics and tune weren't combined into the one hymn until 1972. (00:05:00)
The Sins of the Father - S4-E9
Factual error: A character is revealed as having been hypnotised into committing murder against their will. This is not possible. (00:05:20)