Are you talking about an undercabinet hood or a chimney hood? If you have the wall space, a 36" wide hood would be best, and if you don't have wall space, you can stay with 30", but it sounds like you have the wall space for 36" wide. Also look for depth of 22-24", not shallower than that. What do you mean not tall enough? You mean the hood, or the chimney part? Anyway, you can find hoods that are in the 18" tall range, that should be fine. Or are you looking for custom?

Why don't you post some photos of hoods that appeal to you, and then you can get more specific advice.

A budget would be helpful too. A company called ModernAire makes hoods that are really beautiful and will fit in gorgeously with your 1923 home. Go to Google, search "Modernaire hood", then click on "images" for pics. But they are pricey.

Hoods like these don't need a chimney at all. Let us know what you are looking at in the way of hoods, there are a ton of designs out there.

Need a bit more information. Cabinets on either side?? If so, do they go to the ceiling? Do you have a rendering of the room or a plan done by a cabinet company that you can post? If a chimney hood, then most do have extension pieces. If you are looking at an undercabinet (a cabinet over the hood) then an extension is not necessary but the scale of the unit relative to the space is important.

We purchased a Broan chimney hood and the online description stated that it works with 8’ or 9’ ceilings. So if you find a hood you like, see if it’s addressed in the specs. As for size, we did 36” for our 30” range for capture reasons. But we wary of the CFM and noise ratings. I assumed the higher the CFM the better, but then I learned about make up air, etc. I assume exterior venting? There are a lot of good threads on here about the technical aspects of range hood selection. For what it’s worth, although I went with Broan due to cost and aesthetic preference (I like the more rounded bottom), our appliance consultant was really pushing for vent-a-hood (though I suspect that has to do with the price tag in addition to the quality).

First off, thank you to everyone who replied. Here's the type of vent hood I've had my heart set on:

And here is where it's going. The hood will be between the two windows and it will be tiled to the ceiling. It's hard to see in this pic, but the lower cabinets are 30" apart. I'm not exactly sure of the distance between the two windows, but it's more than 36"

As for budget, we basically did a total remodel on this house, and it's been a bit pricier than originally anticipated. I would like to keep the cost of the vent hood to under $1000, or even lower. It will be vented.