Stephanie,
If I were you, I will not come back to office and ask that colleauges to come to my home by saying that I have to 訓床. Or you can do the job conversion by phone!
Yes, agree with Cathy if you get the laptop, you will work just same as before except 'at home' or 'at working location'.
Think of your baby. You are the only one who can protect him whereas you have lots of colleagues can do your job. That baby is one and only one.....while you can find another job.