I often treat patients on the same day with Botox and Broadband light treatment. You did not write what areas your wife was injected with Botox. It is possible to have swelling of this kind from the Broad Band Light treatment. The joules used may have been enough to have made her swollen from the treatment. If it does not resolve in a few more days I would suggest returning to the treating physician.
It is absolutely normal to have swelling from both procedures and it may take a week or more to resolve! The eyelids are very thin and tend to be very reactive to any procedure whereby they swell and sometimes become red. Keeping the head elevated and cold compresses are the best thing to help it resolve more quickly. I also counsel my patients to avoid salty foods and consider lymphatic massage to the lymph node basins that drain the face/eyes if the swelling is persistent. Good luck!
Yes, yes it would be expected to get swelling and redness and even bruising after the broadband light treatment to nose veins. Swelling tends to fall to gravity, so it would not be unusual to see it around the eyes, from a nose treatment. I would recommend she prop up on extra pillows while sleeping, and be patient because swelling like this may continue for a few weeks in some people. If Botox was injected in the nose for bunny lines that may also cause swelling around the nose and eyes which may last a week or two.