Question: When was the toy invented that Betty M. James came up with the name for?

Context paragraphs:
Skip-It: Skip-It is a children's toy invented by Avi Arad, Maggie Harvey and Mel Kennedy and manufactured by Tiger Electronics.  The Skip-It apparatus was designed to be affixed to the child's ankle via a small plastic hoop and spun around in a 360 degree rotation while continuously skipped by the user.  Time magazine included it in their 100 greatest toys ever.

Yoshimoto Cube: The Yoshimoto Cube is a polyhedral mechanical puzzle toy invented in 1971 by Naoki Yoshimoto (吉本直貴 , Yoshimoto Naoki ) , who discovered that two stellated rhombic dodecahedra could be pieced together into a cube when he was finding different ways he could split a cube equally in half.  Yoshimoto first introduced his cube in 1972 at a solo exhibition entitled "From Cube to Space," and later developed three commercial versions.  In 1982, Yoshimoto Cube No. 1 was included in the Museum of Modern Art's permanent collection.

James (name): James is the (Vulgar/Later Latin) form of the Hebrew name "Yaʻaqov" (known as "Jacob" in its earlier Latin form).  The name James came into the English language from the Old French variation "James" of the late Latin name "Iacomus".  This was a Vulgar/Later Latin (proto-Romance) variant of the earlier Latin form "Iacobus", from the New Testament Greek Ἰάκωβος (Iákōbos), from Hebrew יעקב (Yaʻaqov) (Jacob).  The development "Iacobus" > "Iacomus" is likely a result of nasalization of the "o" and assimilation to the following "b" (i.e., intermediate *"Iacombus") followed by simplification of the cluster "mb" through loss of the "b".  Diminutives include Jim, Jimmy, Jimmie, Jamie, Jimbo, Jimothy, and others.

Dr. Nim: Dr. Nim is a toy invented by John Thomas Godfrey and manufactured by E.S.R., Inc. in the mid-1960s.  It consists of a marble-powered plastic computer capable of playing the game of Nim.  The machine selects its moves through the action of the marbles falling through the levers of the machine.

Roboraptor: Roboraptor is a robotic toy invented by Mark Tilden and distributed by Wow Wee Toys International.  It is the successor to the RoboSapien robot and uses motion technology based on realistic biomechanics that give it fluid and natural movements.  It has a multi-function remote control that uses infrared technology to talk to it.  Unlike the original RoboSapien, the Roboraptor is capable of autonomous movement, using 3 realistic gaits.

Etch A Sketch: Etch A Sketch is a mechanical drawing toy invented by André Cassagnes of France and subsequently manufactured by the Ohio Art Company and now owned by Spin Master of Toronto, Ontario, Canada.

Atollo: ATOLLO is a construction toy invented by Scottish architect Donald Macdonald consisting of hinge and socket pieces.

Bayko: Bayko was an English building model construction toy invented by Charles Plimpton, an early plastics engineer and entrepreneur in Liverpool.  First marketed in Britain it was soon exported throughout the British Commonwealth and became a world wide brand between 1934 and 1967.  The name derived from Bakelite, one of the world's first commercial plastics that was originally used to manufacture many of the parts.  Bayko was one of the world's earliest plastic toys to be marketed.

Slinky: A Slinky is a toy precompressed helical spring invented by Richard James in the early 1940s.  It can perform a number of tricks, including travelling down a flight of steps end-over-end as it stretches and re-forms itself with the aid of gravity and its own momentum, or appear to levitate for a period of time after it has been dropped.  These interesting characteristics have contributed to its success as a toy in its home country of United States, resulting in many popular toys with slinky components in a wide range of countries.

Betty James: Betty M. James (February 13, 1918, Altoona, Pennsylvania – November 20, 2008, Philadelphia, Pennsylvania), was an American businessperson who came up with the name for the Slinky her husband Richard T. James invented.  She ran James Industries, the firm that manufactured the toy, by herself starting in 1960 after her husband left the firm and the family.

Supporting paragraphs: Betty James Slinky
Answer: the early 1940s