You didn't mention a price range or which hand the little lady reels with. If she can reel with her left hand (and it is in your budget) here is a great little reel. I believe the original price is like $200 on closeout for $120.
http://www.tacklewarehouse.com/Shimano_Curado_51_E_Series_Casting_Reels/descpage-SCE5.htmlI used a Patriarch XT last time out fishing, and can highly recommend this reel. Small and light. New it is around $250, but got a mint one for $155. Is an ad for another mint one at a $145 price. May have to buy that one myself. These are right hand only. Luckily I use either hand.
Here is the link to tacklewarehouse's "sale" page.
http://www.tacklewarehouse.com/liquidation.htmlCheck out the Falcon Clark Wendlandt Casting Rods in particular. Read original price is around $220. There is a short review of them on another forum comparing them to rods such as the IMX and Cumara. Poster was impressed. I know my Cumara is very sensitive. I'd also look at the Daiwa V.I.P. Smallmouth rods. If she likes yellow, take a look at the Okuma Concept C3 rods.
My daughter likes pink. I had a pink custom rod made for her. Very reasonable price. She fishes Senkos almost exclusively. Send me a message or email if you'd like to know more about this option.
EDIT: Had to take grandsons home. To continue...I love my Fuegos. Currently a poster has 3 for sale in 9-9.5 cosmetic condition at $100 apiece. I'd buy more, but already have 3 and want to try other reels. The Sol and Alphas are also small reels. Both make excellent all around reels, IMO. My Alphas ito is paired with a Zillion 6'6" Med XF. It is one of my all around combos, but my current favorite all around combo is a 7'2" MH Fast Cumara/Fuego although that could change once I try the Patriarch XT on it. Both are light outfits with the Alphas ito/Zillion being the lightest...far as I can tell.
The Fenwick Smallmouth and River series are getting good reviews. Local Delaware River guys are actually using them to catch smallmouths,

but obviously they can be used for a lot more.
There have been some good suggestions by others. No doubt there are other options. I know nothing about the Lews reels. Have no experience with any kind of Quantum reel. No idea how large or the weight of a Pro Qualifier, but many, many people feel this is one of the very best reels in its price range. Especially when on sale as it often is.
There are other rods around the $100 range that get good reviews, but I'd rather have the $200 rod on closeout for $100 myself. Just mho.