I'm no lawyer myself, but there's a reason lawyers usually tell their clients to shut up until they've had the opportunity to go over the details, and then to shut up until the case is over. If there's even a chance of taking legal action, detailing such stories online if they can be traced back to you (how many pregnant women recently got fired at this company? I'm willing to bet it won't be a large number).
I assume it won't be too much of a problem in this case as the case resolves around OP's wife rather than OP himself, but if this stuff does end up in court then any statements that can be traced back to OP may be used against them in court.
In a just world, you can share your experiences and opinions freely. In practice, things like "reputation damage" can lessen the payout or be grounds for a counter lawsuit if the company is scummy enough.
OP is free to say as they wish as long as they don't go into libel/slander territory, but freedom of speech does not guarantee freedom from consequences and words you vent in anger can hurt your case in court.
It's up to OP to weight the importance of sharing their experience and opinions against the possible impact on a theoretical court case, but I've never heard of anyone getting a worse settlement because they didn't share the details before legal consultantion got involved.