The general rule of thumb is that the starting load is equal to the caliber of the bore in volumetric grains of powder.
Since 15 gauge has a .677 bore then it's safe to begin with a minimum charge of 68 grains of powder with an equal amount of shot.
In reality you can go up quite a bit in shot and powder load.
POWDER MEASURE SETTINGS TO
MEASURE OUT OUNCES OF BIRD SHOT
50 grain setting = 3/4 ounce of shot
60 grain setting = 7/8 ounce of shot
70 grain setting = 1 once of shot
80 grain setting = 1 1/8 ounce of shot
90 grain setting = 1 1/4 ounce of shot
100 grain setting = 1 3/8 ounce of shot
110 grain setting = 1 1/2 ounce of shot
120 grain setting = 1 5/8 ounce of shot
Here are some equal volume type loads:
oz. shot-----Dr. powder-------Grains
3/4-------------2--------------55
7/8-------------2 1/4----------62
1---------------2 1/2----------68
1 1/8-----------2 3/4----------75
1 1/4-----------3--------------82
1 3/8-----------3 1/4----------89
1 1/2-----------3 1/2----------96
1 5/8-----------3 3/4----------102
1 3/4-----------4--------------109
1 7/8-----------4 1/4----------116
2---------------4 1/2----------123
2 1/8-----------4 3/4----------130
2 1/4-----------5--------------137
More info. about shotgun loads:
http://www.circlefly.com/html/muzzleloaders.html
http://members.aye.net/~bspen/starr.html