Question: What is the name of the woman that taught the oboe in the "small, rather stuffy music room" in the same basement that Lennon and McCartney used to compose 'I Want to Hold Your Hand'?
About the article "I Want to Hold Your Hand", section "Background and composition".

Candidate passages:
Although it is said that Brian Epstein had encouraged Lennon and McCartney to write a song to appeal to American listeners this has been denied by George Martin.
McCartney had recently moved into 57 Wimpole Street, London, where he was living as a guest of Dr Richard and Margaret Asher, whose daughter, actress Jane Asher, had become McCartney’s girlfriend after meeting him earlier in the year.
This location briefly became Lennon and McCartney's new writing base, taking over from McCartney’s Forthlin Road home in Liverpool.
Margaret Asher taught the oboe in the "small, rather stuffy music room" in the basement where Lennon and McCartney sat at the piano and composed 'I Want to Hold Your Hand'.
In September 1980, Lennon told "Playboy" magazine:In 1994, McCartney agreed with Lennon's description of the circumstances surrounding the composition of "I Want to Hold Your Hand", saying:
A number of songs written primarily by the duo and recorded by the Beatles were credited as follows: "What Goes On" (1965) Lennon–McCartney–Starkey "Flying" (1967) Harrison–Lennon–McCartney–Starkey "Dig It" (1969) Lennon–McCartney–Starkey–Harrison "Maggie Mae" (1969) Arrangement by Lennon–McCartney–Harrison–Starkey "Free as a Bird" (1995) Original composition by John Lennon, Beatles version by John Lennon/Paul McCartney/George Harrison/Ringo Starr "Christmas Time (Is Here Again)" (1995 edit of 1967 fan club version) Lennon–McCartney–Harrison–Starr The German-language versions of "I Want to Hold Your Hand" and "She Loves You" were also credited to additional songwriters for assisting with the translation: "Komm, Gib Mir Deine Hand" was credited to Lennon–McCartney–Nicolas–Heller and "Sie Liebt Dich" was credited to Lennon–McCartney–Nicolas–Montague. 
The following is a table of songs recorded by the Beatles.
The columns Title, Year, and Album list each song title, the year in which the song was recorded, and album on which the song originally appeared.
The column Songwriter(s) lists the writer(s) of each song.
Many songs credited to "Lennon–McCartney" were written by John Lennon or Paul McCartney alone, or with minor input from the other.
Those credits are listed here as follows: : Lennon and McCartney: Songs written (as Lennon once said) "eyeball to eyeball" (for example, "She Loves You" and "I Want to Hold Your Hand").
: Lennon, with McCartney or McCartney, with Lennon: Songs with one main composer (the given name listed), but where the other made some noteworthy contribution; for example, cases where one wrote or rewrote some of the lyrics or melody, or where one wrote the verse and the other wrote the "middle eight" or bridge section, or gives the other an unfinished song to merge with an almost complete song (for example, "I've Got a Feeling", "A Day in the Life", or "We Can Work It Out").
: Lennon or McCartney: Songs that were not co-written (e.g., "Nowhere Man" or "All My Loving").  
The typical set list for the shows was as follows (with lead singers noted): "Twist and Shout" (John Lennon) "I Want To Hold Your Hand" (John Lennon and Paul McCartney) "I Saw Her Standing There" (Paul McCartney) "You Can't Do That" (John Lennon) "All My Loving" (Paul McCartney) "I Wanna Be Your Man" (Ringo Starr) "She Loves You" (John Lennon and Paul McCartney) "Till There Was You" (Paul McCartney) "Roll Over Beethoven" (George Harrison) "Can't Buy Me Love" (Paul McCartney) "This Boy" (John Lennon, Paul McCartney and George Harrison) "Long Tall Sally" (Paul McCartney)  
"Wanna Hold You" is a song by the English rock band the Rolling Stones on their 1983 album "Undercover".
Although credited to Mick Jagger and Keith Richards, "Wanna Hold You" is largely a Richards composition.
The song was written in a recording studio in Paris in the basement of a house of one of Richards' acquaintances.
Richards describes the song's structure as being "very early sort of Lennon & McCartney, let alone the title, which suggest I Want to Hold Your Hand".
The first recording of the song, of which Richards claims to have the original tape, had only Richards on guitar and vocals and Jagger on drums.
The lyrics deal with the often-used topic of a poor man having nothing but love to give to a woman, as the following line illustrates:During the Rolling Stones' Bridges To Babylon Tour, "Wanna Hold You" was a regular part of the mini-set sung by Richards and was performed 99 times (of 107 concerts in total).