So, googling "SR950TT, or SR950, or Ibanez SR950, brings up only posts about a rare 92 model that is no longer in production, and it's also not listed on their website.. so I would imagine that's a decently old bass and I'm assuming you had to have bought it used? Feel free to correct me if I'm wrong.
This indicates this bass was around long before Ibanez rethought what kind of pick ups they were putting in the mid to high range sound gears. And being that this bass is older, and I'm imagining previously owned (Again...correct me if I'm wrong.) IT could be anything going on inside. First things first I would adjust the EQ's on the amp and the bass guitar itself.
I'm going to quote Geddy Lee as saying "No two basses sound the same". There are just too many factors such as how the pickups were wrapped, the wire, the wood, the screws holding vital parts into the body. You can likely find two basses that sound similar, but if you listen closely enough (or maybe even analyze the soundwaves through some computer software)I'm going to say that even two of the same exact model of bass will have SOMETHING even if barely noticeable different sound. So - Adjust EQ's to suit the bass being played is just a must. For just learning, I would invest in a cheap 15w practice amp that your daughter can set her eq's for herself when she finds the tone she likes.. that way you guys don't have to change the knobs on your amp every time one of you plugs your bass into it.
If, for some reason you find while tweaking your EQ's that it is just impossible to get the low end you want out of it. I would have the electronics looked at, make sure all the connections are soldered properly, and no giant globs of solder causing contact issues. This is easier than it sounds, but, if you aren't familiar with electrical work, such as using multi-meters and solder, I'd take it to someone to have them take a look.
That being said.. it might just be that the EQ settings need to be tweaked on the amp or bass itself. Or, it could also be that the pickups aren't at the proper height compared to the strings.
I'll say one thing. that bass looks pretty unique, at least to my eyes. And knowing how much I love how my Ibby feels.. if you can't EQ the sound you want from it, I'd take it to have it looked at by someone who knows what they're doing and ask them what your options are.. and find out if it's worth it to you to perhaps try different pickups if you find no fault in any of the connections and still don't like the tone.
If it's out of your budget, or not worth it.. try and sell the bass and find her one you're both happy with, but most importantly her.. as she's the one playing it right?
I hope someone who's actually owned one of these basses can chime in and tell you what they think, but given that this model is discontinued, and near impossible to find info on, it's pretty much trial and error.
I'm personally hoping you find that tweaking the EQ on your amp is all it takes, as personally, I don't believe I've ever seen a soundgear in that color, and I'm rather fond of uniquity.
*edit*
Bfreed96 - YouTube - this kid is rocking out on an SR950, and throughout some of his videos he switches between finger style and Slap.
It's not some professional quality recording by any means.. so it's not going to sound exactly like that bass would when you actually play it.. but, it seems to sound like a bass, for a little comparison. It's the ONLY thing I could find when I googled your bass.