I found the following article at the university library:

Story M, et al., Do young children instinctively know what to eat? The studies
of Clara Davis revisited, N Engl J Med. 1987 Jan 8; 316(2): 103-106.

Here is a summary:

In the 1920s and 1930s, the pediatrician Clara Davis conducted pioneering
studies, now considered classic, adn published at least 12 papers on the
selection of diets by infants and youg children (1-4). In the first study (1),
three infants (7-9 months old) were involved, two for six months and the third
for one year. In 1939, Davis reported in much less detail the results of a study
involving 12 more children over a perio ranging from 6 months to 4.5 yeaars (2).
The reseaarch protocol was the same for both studies.

Of the 34 foods offered, 90 percent of the energy intake for all three infants
was derived from 14 foods. Of these, 9 were preferred by all three infants (bone
marrow, milk, eggs, banana, apples, oranges, cornmeal, whole wheat, and
oatmeaal). Bone marrow was the largest single source of calories (27%) for one
infant, whereas milk provided the bulk of calories for the other two (19 and 39
%). All three infants shared a low preference for 10 vegetables, as well as for
pineapple, peaches, liver, kidney, ocean fish, and sea salt. These foods
constituted less than 10% of the total energy intake.

Average intake of nutrients as a percentage of the (1980) RDA during 173 days of
self selected diets in three infants.
              1   2   3
-------------------------
Energy     |146 |135|113
Protein    |426 |329|346
Vit. A     |441 |349|305
Vit. C     |289 |744|179
Thiamin    |180 |214|184
Riboflavin |383 |350|350
Niacin     |180 |150|125
Vit. B6    |287 |330|158
Folacin    |479 |574|341
Vit. B12   |1346|747|576
Ca         |131 |139|179
P          |358 |275|314
Mg         |335 |445|285
Fe         |100 | 74| 89
Zn         |188 |136|168

Thus, with the exception of iron, the foods consumed equaled or exceeded the RDA
for the nutrients examined. Milk intake, though it accounted for 19 to 39% of
the total calories, supplied at least 75 percent of the RDA in half the
nutrients listed in the table above.

Percentage of total calories

Protein    | 25 | 17| 23
Fat        | 37 | 21| 38
Carbohydr. | 38 | 62| 39


REFERENCES

1. Davis CM, Self selection of diet by newly weaned infants: an experimental
study. Am J Dis Child 1928; 28: 651-79

2. Davis CM, Results in the self-selection of diets by young children, Can Med
Assoc J 1939; 41: 257-61

3. Davis CM, Studies in the self selection of diet by young children. J Am Dent
Assoc 1934;21: 636-40.

4. Davis CM, The self-selection of diet experiment: its significance for feeding
in the home, Ohio State Med J 1938; 34:862-8.