Question: Who is the mother of William A. Bardeen and the wife of John Bardeen?

Context paragraphs:
William Shockley: William Bradford Shockley Jr. ( ; February 13, 1910 – August 12, 1989) was an American physicist and inventor.  Shockley was the manager of a research group at Bell Labs that included John Bardeen and Walter Brattain.  The three scientists were jointly awarded the 1956 Nobel Prize in Physics for "their researches on semiconductors and their discovery of the transistor effect."

BCS theory: BCS theory or Bardeen–Cooper–Schrieffer theory (named after John Bardeen, Leon Cooper, and John Robert Schrieffer) is the first microscopic theory of superconductivity since Heike Kamerlingh Onnes's 1911 discovery.  The theory describes superconductivity as a microscopic effect caused by a condensation of Cooper pairs into a boson-like state.  The theory is also used in nuclear physics to describe the pairing interaction between nucleons in an atomic nucleus.

Point-contact transistor: A point-contact transistor was the first type of solid-state electronic transistor ever constructed.  It was developed by research scientists John Bardeen, William Shockley, and Walter Brattain at Bell Laboratories in December, 1947.  They worked in a group led by physicist William Shockley.  The group had been working together on experiments and theories of electric field effects in solid state materials, with the aim of replacing vacuum tubes with a smaller, less power-consuming device.

Charles William Bardeen: Charles William Bardeen (1847–1924) was an American educator and publisher.  He devoted his career to improve the education system of the United States.  He was the father of Charles Russell Bardeen and grandfather of two-time Nobel Prize winning physicist John Bardeen.  He was referred to as C.W. by the later generations of Bardeens.

Walter Houser Brattain: Walter Houser Brattain ( ; February 10, 1902 – October 13, 1987) was an American physicist at Bell Labs who, along with fellow scientists John Bardeen and William Shockley, invented the point-contact transistor in December 1947.  They shared the 1956 Nobel Prize in Physics for their invention.  Brattain devoted much of his life to research on surface states.

John H. Miller Jr.: John Harris Miller Jr. is an American physicist with important contributions to the fields of physics, biophysics, Impedance spectroscopy, and material science, mainly known for his role in Charge density wave (in explaining the collective quantum transport of electrons in charge density waves), research work on Cuprates and Impedance spectroscopy of living organisms.  He is particularly known for an effect "Collective Quantum Tunneling of CDW Electrons" and for a well-known paper on the topic written by him and his colleagues, as published in Physical Review Letters.  He was a noteworthy student of the twice Nobel laureate physicist John Bardeen who mentioned him at several places in his biography "True Genius: The Life and Science of John Bardeen" (John Bardeen) (particularly in Chapter 15 of the book which discusses the work which Miller carried out under the guidance of Bardeen and J. R. Tucker).

Cooper pair: In condensed matter physics, a Cooper pair or BCS pair is a pair of electrons (or other fermions) bound together at low temperatures in a certain manner first described in 1956 by American physicist Leon Cooper.  Cooper showed that an arbitrarily small attraction between electrons in a metal can cause a paired state of electrons to have a lower energy than the Fermi energy, which implies that the pair is bound.  In conventional superconductors, this attraction is due to the electron–phonon interaction.  The Cooper pair state is responsible for superconductivity, as described in the BCS theory developed by John Bardeen, Leon Cooper, and John Schrieffer for which they shared the 1972 Nobel Prize.

John Robert Schrieffer: John Robert Schrieffer ( ; born May 31, 1931) is an American physicist who, with John Bardeen and Leon N Cooper, was a recipient of the 1972 Nobel Prize in Physics for developing the BCS theory, the first successful quantum theory of superconductivity.

John Bardeen: John Bardeen ( ; May 23, 1908 – January 30, 1991) was an American physicist and electrical engineer, the only person to have won the Nobel Prize in Physics twice: first in 1956 with William Shockley and Walter Brattain for the invention of the transistor; and again in 1972 with Leon N Cooper and John Robert Schrieffer for a fundamental theory of conventional superconductivity known as the BCS theory.

William A. Bardeen: William Allan Bardeen (born September 15, 1941 in Washington, Pennsylvania) is an American theoretical physicist at Fermi National Accelerator Laboratory.  He is the son of John Bardeen and Jane Maxwell Bardeen.

Supporting paragraphs: William A. Bardeen John Bardeen
Answer: Jane Maxwell