Listening to recordings of fine players on his/her instrument is probably as important as individual practice time for any aspiring young instrumentalist; your idea is terrific.
I second the recommendations of the Mozart wind concerti; every young wind player should have exposure to these, and there are several fine recordings of these:
-Karajan conducts The Mozart Wind Concertos. EMI/Angel SC-3788. Features principals of the Berlin Phil.
-Mozart, The Wind Concertos, Marriner and the Academy of St. Martin-in-the-Fields. Phillips 6747377.
-Mozart, Complete Wind Concertos, Opheus Chamber Orchestra. DG.
In addition, the Mozart flute quartets are wonderfull:
-The Mozart Flute Quartets(Complete) Jean Pierre Rampal. Columbia M30233.
Accessibility of the music is of the utmost importance for a young student to not lose interest. There are many, many fine recordings of great music written for the flute, but much of it can be too "heady" for young players. The beauty of Mozart is that while unquestionably music of the highest caliber, it is generally very tunefull and easy for young players to listen to. Besides Mozart, other recordings that come to mind are:
- Claude Bolling, Suite for Flute and Jazz Piano. Jean-Pierre Rampal, flute. Not exactly jazz, but certainly jazzy and VERY fun. Columbia M33233. Highly Recommended.
-Eighteenth Century Flute Duets. Music written for two flutes by Quantz, Telemann,Stamitz and Schultze. Features Jean-Pierre Rampal and the great Julius Baker. Orpheum 9419.
-Fascinatin' Rhythm, Music of George Gershwin. Arrangements of Gershwin classics featuring Julius Baker and Jeanne Baxtresser. Fanfare DFL-6006.
The collections of Mozart wind concerti obviously include the oboe concerto K.314, other oboe recordings that come to mind are:
-Double Reed Society 25th Anniversary. Features John Mack, Alex Klein, Cynthia Koledo; all principals in major US orchestras. Andre Previn, piano. Crystal Records, CD870.
-Crystal Records CD321. Features the W.G.Still "Miniatures" for flute and oboe.
If this young woman is somewhat advanced as a player, and not an absolute beginner, there is a recording on Boston records that is absolutely invaluable for a student of the oboe:
-Marcel Tabuteau Lessons. His own explanations and demonstrations of his phrasing system and other playing techniques. Tabuteau was the father of the American school of oboe playing and probably the most influential American wind player of the century. Highly recommended. Boston Records BR1017CD.
Both Crystal Records and Boston Records have their own websites.
For something different, the recordings by the group Oregon, featuring oboist and multi-reed player Paul McCandless are terrific, and can expose her to the potential of the oboe as an instrument for improvisation.
Good luck to her and encourage her to listen as much as possible. All the best.