Published trees can be full of mistakes so don’t rely on the information therein unless there is proven documentation.
Secondly, it is not really fair to withhold names to see if anyone comes up with something new.
In this case, it didn’t matter as Rose is with her son in the census and so I came across her by searching for William. However, I then thought I had some useful information for you.
In other circumstances though, people could spend time searching for information you already have which is unnecessary and a waste of their time.