Do re-think using the 110gr.'s for reduced loads for the snubbie.
If you do go ahead, you'll need to consider this:
1. Don't go below the listed minimum starting loads in the manuals, unless you are attentive and carry a brass range rod with you. The jacketed bullets will stick in the bore if loaded too light, but at much higher loadings than will work OK with lead bullets. (See similar warning in the Speer loading manual). Many .38 revolvers have been destroyed by a squib stuck in the barrel. BTDT! Fortunately all I've done is buldge barrels or split forcing cones.
2. Even with minimum reduced loads, the 110gr bullet will shoot considerably under the POA with the snubbie. The sights are factory regulated to shoot POA/POI with a 158gr bullet at nominal factory loadings.
Heavier bullets (ie: 200gr RN) will shoot somewhat higher, and lighter bullets will shoot somewhat lower (ie: the 110gr bullets you are looking at). Ditto any of the +P loadings. Why? Shorter barrel time, and gun is recoiling while bullet is still transiting the barrel. Lighter bullets, and higher velocities will cause gun to shoot LOWER.
The only exception will be the 148gr wadcutter TARGET loads. These will generally shoot fairly close to POA, and would be my overwhelming recommendation for a light training load for the snubbie.
Several million rookie lawmen, and veterans alike have used this load for training/qualification through the years, myself included.
Why?
IT WORKS !!!!
My load:
BULLET: 148-152gr wadcutter (swaged or cast, your choice. I use both)
POWDER: 2.5gr Bullseye. Proven, accurate, inexpensive! (0.27cc cavity).
PRIMER: FEDERAL SMALL PISTOL. Most sensitive available. Works with light trigger jobs when others won't.
RE: Grips;
You didn't say what grips you had on the gun, but I would suspect that if she was having trouble with them being too big, THEY WEREN'T THE FACTORY GRIPS! These are tiny! And, larger grips will make the gun shoot lower too!
I suggest that you try the factory grips with a Tyler T-grip adapter. I have found this to be far and away the best set up for shooters with smaller hands. Even Ed McGivern used this set-up. He had very short/thick/stubby fingers. He influenced S&W's factory grip offerings for over half a century. I've found this to work well too when wearing gloves on average size hands. Working in the field as a Game Warden for many years, I would switch to this set up in winter as it allowed me to get a good grip while still wearing gloves as I was usually far from the comfort of the heated cab of my truck, and often wearing gloves while operating boats or ATV's. Only bow of trigger guard limited the thickness of gloves. With the GoreTex/thinsulate gloves it's neccessary to remove the gloves to shoot!