This is so tough. Why is it that moms are always expected to take time off to watch the kids when they're sick? I make 4x what my husband does, but yet when the kids are sick, I'm the one using up all my sick time, which means that when *I* have the flu, I have to drag my sorry self into the office with a Costco-sized box of Thera-flu and hope for the best. Sigh.
Well, if you really can't get the time off from work, why not call your mom and just ask if she would be able to watch your son? I mean, it's no walk in the park to watch 2 sick kids, but on the other hand, maybe the kids could entertain each other to some extent. Bronchitis is no fun, but it's not as bad as the stomach flu for a babysitter to deal with. Plus, she's your mom. She had (at least) 2 kids. It's not like she's never done this before, right? Why not call her and just see if she'd be willing to help you out. And if not, do you have any other options for a babysitter? Maybe a SAHM neighbor who might be willing to help you out? If so you could offer to watch her kids one weekend so she and her hubby could go have date night... you never know!
I'm sorry. I hope you can find someone to watch him. =(