Reddit mentions of Staedtler Mars Technico Lead Holder (780 C)

I love using my drafting pencil.
It's pretty cheap, the lead lasts for a long time and you can easily switch out the type/hardness of lead. They're available at hobby lobby too.

Staedtler Mars Technico Lead Holder (780 C) https://www.amazon.com/dp/B000WL4WEC/ref=cm_sw_r_cp_apa_i.h1Bb9ZX9PRA

When I started playing I bought a pack of 20 sets of dice.

After 2 years I now bring 2 sets to the table, with a few extra d6. That's a personal decision, because I find I need extra d6 more than anything else; You daughter night need multiple of other dice depending what character she plays. But overall, having 2 of every dice is plenty I think.

Having a box to keep and roll them in is an excellent idea. Dice boxes are a really useful addition to your DND setup. I made my own, but there are plenty of companies out there who make nice boxes too. Wyrmwood are what I would aspire to make my boxes like... Need a bit more practice and some different tools though lol.

Some other gift ideas though, and this is all stuff I use or have:

D&D books - Player's Handbook, Xanathars Guide, Dungeon Masters Guide, Sword Coast Adventurers Guide to name a few. Depends whether she's more of a player or wants to run sessions which ones you should get.

Spell or item cards - Something like this could be useful. If you know what class her character is you could get a specific set, or a general pack. I use them with a playing card folder to keep them all together.

Pins and stickers - there's loads of people who make enamel pins and stuff for D&D, great for customising a bag or something.

3D miniatures - Hero Forge let's you make your character and you can either download the file to print yourself, or get them to print it for you. Might need to get some paints to go along with this one.

Custom Character Sheets - Alright, so I actually make these, so it's a bit if a self plug, but I think they're still a great gift. A5 Character Sheet Booklet. It's your standard D&D character sheet in an A5 booklet format with a few extra bits added. Keeps everything nice and tidy, and protects the sheet from damage without having to faff about with a bigger A4 folder.

Mechanical Pencils - not much of a gift I guess, but hot damn, it is frustrating to have to sharpen your pencil at the table. Just get a mechanical one. I use one of these for my graphic design work and bought a second one to keep with my D&D stuff, but any mechanical pencil will do.

i'm a drafter, so i still just user my drafter's lead holder with HB lead. it has its own sharpener built into the cap!

Steadtler lead holders: https://www.amazon.co.jp/dp/B000WL4WEC

What I used was a lead holder, which is different than a mechanical pencil. It has a much thicker, longer lead and you use a lead pointer, or possibly sandpaper, to sharpen it. Also, it doesn't automatically advance the lead. It has a release, but if you point it down, the lead will fall out.