Hey hun. First about your child, not to dampen your mood but it makes no difference nor does it speed up the process. I have a 10 month old as well. I wish somehow it did though....
"In process" is just another way of them saying, we have your file entered in our system. But not necessarily being worked on. In process can mean, they are doing your security/background/criminality check. AVO is not known to send you any correspondence unless they need to let you know about an upcoming interview, requesting more documents, passport request or pick up and visa issuance.
If possible, bring your lawyer's attention to the mistake in the name. And in addition see if you can send a case specific enquiry email with the correct info.
Every application is different so keep your head up. I know how hard it is to have your husband away especially when there's a baby involved.
All the best of luck hun