The word "fragrance" typically raises red flags. That is a generic term and as far as I know is completely unregulated and *can* mean a lot of different things.
I only know a little about The Body Shop and what I do know is this company appears to be a bit more health-conscious than other such companies. I don't know how that translates to your specific products, however. Could you look them up online or call a store or independent consultant and ask more questions about the ingredients?
Meanwhile, in my readings and experiences, burning any scents ("fragrance" or essential oils) *can* irritate eyes, nasal passages, and lungs. I guess it depends on how sensitive each person is.
My personal philosophy is to keep the house clean and open the doors/windows (and/or use fans) to keep the house smelling fresh. I have found the kitchen is key to this process. On the "fresh" side, cleaning up after every meal really, really pays off!!! So does having a smaller trash can that is emptied more often (and composting and recycling whatever is possible...with reducing the volume at the forefront, of course). On the "good-smelling" side, I have discovered how nice our house smells when we cook from scratch. The cooking smells just seem "cleaner" somehow.
I do have scented products in our home and I use some of them far more often than others. The main thing for me is to burn as little as possible due to my own sensitivities. My sensitivities are lessening more and more with all the healing work I've been doing lately, so I may be able to try some of that later on again. What I do now:
~ Handcrafted scented rocks from a craft fair sit in a few open pretty dishes. These are reactivated with heat, so I set them out in the sunshine once in awhile. They can also be tossed in the bath and lots of other uses. Did I mention they are really pretty and I chose colors for specific rooms???
~ I have some "fragrance oils" that I still like the smell of. They were intended for those plug in things... Wallflowers, I think? Anyway, I pried open the container and poured them into an open shallow dish up high in our bathroom. Smells good, no heating.
~ I love essential oils! I use them directly on my body (diluted as necessary) far more than in cleaning products. I use plain baking soda for scouring cleaning and vinegar/water (50/50 mix in spray bottle) for most other cleaning...no scents.
~ I have pretty candles around the house. It is rare I actually light one, though. I did the other night when I took a bath (rare event) and it was nice!
I may be in the minority here on MDC and that is okay with me.
I focus my efforts on what is going IN my body the most (food, supplements, air quality, etc), then what is going ON my body and staying there versus being washed off. I believe our intentions and attitude and "connectedness" play a bigger role in our overall health than some of the nitty gritty details we (as humans) tend to focus on frequently.