Okay, I think I have this figured out now.
The page from the book that vic65 provided has all the information - it just was a bit difficult to interpret.
And Dr_Teek was on the right track with his idea of “frozen” dates.
These comments affect the following coins:
N#9317
N#21532
N#10270
N#5961
N#4825
For all of the Heaton Mint small denomination King Farouk coins, there are two headings for each grouping: “AH 1357/1938” and “AH 1357/1941”. Those are the “frozen” dates. The Heaton Mint -and/or ICI/King's Norton Mint produced these coins from 1938 to 1943 - but with only two “frozen” dates (and no mintmarks). All of the ½, 1, 2, and some of the 5 and 10 millieme coins were produced from 1938 to 1943 and carry the “frozen” date of “AH 1357/1938”; some of the 5 and 10 millieme coins were also produced from 1941 to 1943 and those coins carry the “frozen” date of “AH 1360/1941”. I believe the small “m” in front of the AD dates in each group indicates the actual mintage of each coin in that particular year. One minor mystery is why the bronze 1 millieme coins actually made in 1942 and 1943 do not carry the “frozen” date of AH 1360/1941 like the copper-nickel 5 and 10 milliemes coins produced from 1941 to 1943; perhaps this occurred because none of the 1 millieme coins were produced in 1941 (when new dies with the AH 1360/1941 “frozen” dates were produced for the 5 and 10 millieme coins.
So, the following comments are needed on the Numista web pages for these coins:
For the ½ millieme AH 1357/1938 coin: “Actually minted in 1939”
For the bronze 1 millieme AH 1357/1938 coin: “Minted in 1938 (820,000), 1939 (9,180,000), 1942 (12,400,000) and 1943 (3,840,000).”
For the copper-nickel 1 millieme AH 1357/1939 coin: “Minted in 1938 (1,980,000) and 1939 (1,520,000).”
For the copper-nickel 2 milliemes AH 1357/1938 coin: "Actually minted in 1939"."
For the copper-nickel 5 milliemes AH 1357/1938 coin: “Minted in 1938 (1,600,000) and 1939 (5,400,000).”
For the copper-nickel 10 milliemes AH 1357/1938 coin: “Minted in 1938 (252,000) and 1939 (3,248,000).”
For the copper-nickel 5 milliemes AH 1360/1941 coin: "Minted in 1941 (1,520,000), 1942 (8,480,000) and 1943 (1,500,000)."
For the copper-nickel 10 milliemes AH 1360/1941 coin: “Minted in 1941 (644,000), 1942 (3,676,000) and 1943 (1, 002,000).”
Note that if one adds up all of the given mintages for the stated production years, the total matches the total mintage figures given in the SCWC and Numista web pages for the “frozen” date versions of each coin.
Ane one correction:
The Numista web page for the copper-nickel 5 milliemes and copper-nickel 10 milliemes coins with the “frozen” date of “AH 1360/1941” indicates that those coins were minted at the Bombay/Mumbai (India) Mint. Based upon the information provided by vic65, we now know that is incorrect. All of those coins were produced by the Heaton Mint or ICI/King's Norton Mint in Birmingham, UK.
Thus, there are examples of these coins minted for all of the “mDATE” entries in the reference provided by vic65. However, because of the “frozen” dates, it is impossible to determine in which year a given coin was actually minted (except for the ½ millieme and 2 milliemes coins, which were only minted in one year.
Again, thanks to all who contributed to this discussion; together we have come up with some new information on these coins - that is what makes collecting coins both interesting and fun!