Reddit reviews The Big Book of Weaving: Handweaving in the Swedish Tradition: Techniques, Patterns, Designs and Materials

If she's just getting into it, does she have an electric bobbin winder? I happened to get mine second hand on the cheap, and it's a life-saver, really. They're sort of expensive, I mean I think a new one from schacht is nearish to $300, but there are a few on eBay for about $150. That aside, a warping mill is another item that I got off of craigslist for dumb-cheap that I'll never regret having, it's great for longer warps and like the bobbin winder is easier on my arms & wrists. I'm pathetic.

Other stuff that's neat is seeing what reeds she has for her loom-- they're again, something that people have and use but having a few more options doesn't hurt. There are generally numbers on the end of them marked 4/8/12, etc, and they have to do with the density of the yarn in your warp.

Aside from those types of gifts, books that are good and I enjoy for reference are:

The Big Book of Weaving - I like this one because it's very simple in it's pattern suggestions, haha.

The Weaver's Companion - This was actually my first weaving book. It's SO CUTE. It's legit a coil bound book that is probably 4x6 inches, and it has all these little numbers and reference guides to glance at. I keep it in my bench because it's just handy to have.

& just for fun: Woven Shibori - I like woven shibori a lot. It's really fun and is a sort of mix of weaving and tie-die. Shibori is a Japanese technique that involves a lot of intricate knots on already-woven fabric, woven shibori calls for a secondary shuttle. The yarn on that secondary shuttle is used for "pattern picks"; when the fabric is off the loom, you use those pattern strings to fold the fabric very tightly, then you essentially dip it into a dye bath. It's all very fussy but depending on where she is, she might be itching to explore a new technique, and what's nice is that she can play with it no matter what type of floor loom she has. B)

I live near-ish to Webs, which is the storefront for yarn.com; they have a TON of stuff available online and I recommend poking through their weaving section if you haven't already. :D

The shed regulator can be added later but isn't really necessary. If they don't have them you can be fairly sure they are the original Fanny/Mira and not the II. Having 4 treadles instead of 6 on a 4 harness loom is less common and will make weaving some patterns a little more confusing since 4-harness tie-ups are often written for 6 treadles. That doesn't mean you can't weave them just fine, but it's an extra mental step for a beginning weaver. I'm not positive if that's something that can be changed... you might email leclerc to check.

Regardless, tie-up on counterbalance looms (which both the Fanny & Mira are) is a little different than on jack looms (more common in the US) so I'd recommend getting her a copy of The Big Book of Weaving over some of the other instruction books.

It does look like it's got some good extras (reeds, shuttles, warping mill) and is in good shape though.