I would put roman shades instead of curtains. You really have a pickle with the rod placement on top of the curtain placement. That so silly is there a room beside this one that was added?

I have a bedroom window like that I did hang panels on it. The rod butts right up against the wall but it does not bother me that much. There is no addition on the other side of the wall it is the way it was built in 1920 just one of many quirks found in older homes.

I think any type of drapes are going to draw attention to the off-centered windows. Just add some great artwork to the back wall in the dining room so the focus is that wall instead.

Don't do the half rods, you'll have a panel on the left of each window weird

Agree with RL roman shades. They can just be valances or come down to cover the window. They probably should be hung above the window casing

You could add bi-fold plantation shutters with adjustable louvers and have each of them attached only to the left of the window. When you fold open the shutter for the right window, the folded doors would be against the wall between the windows and when you fold open the door for the left window, the folded doors would be against the wall to the left of the left window.

How wide is the space from the left of the left window to the wall on the right?

Vertical blinds come in wood and faux wood and fabric (as well as vinyl) and, if the space is about 6', you may be able to find a vertical blind intended for a patio door that you like -- one that would cover both windows. They do come in window length as well.

You could pick finish that matches your dining set -- but I'd choose the lighter wood. Unlike drapes or curtains, these blinds could be opened without bunching a glob of fabric in the corner -- just turn the vertical slats. Unlike pull up/down shades, you could have better control over light and privacy -- you could open them without opening them all the way.

This is a picture from similar model house to ours and they use these small chunks often I thought maybe on Boyne sides and one between?

Or this is the half rods they use in another model.

Do add blinds for privacy and light control. Then if you want to use thin curtains/drapes ... perhaps even a narrow (half width) panel against the wall so as to not end up with a clump fabric bunched in the corner, you could. Would add another narrow/half panel between the windows if you do that.

One rod, installed wall to wall. Width and a half wide panel, stacked back to left of windows so fabric hangs on the solid wall. This is idea (but stacked left).

Then you can treat each window as needed.

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Judy has a good idea with one rod, those half rods seem to make it very apparent there is some issue with symmetry , I like the one-rod idea much better if you go that route, I also like the french return that might give you some fullness. But I also thing roman shades could be nice.

Well, that’s awkward! I would run a rod across the whole length but hang full soft semi- Sheer’s like this. It will soften the wall and take the emphasis of the strange window placement. The wall color only draws attention to it!