. I know all about her except the information I have asked for help with.
..and where she was in 1881!!
The thing is,
we dont know all the info about her.
But to simply answer the question you asked and go no further - there is no christening in Hammersmith for any of those names around that year, amongst the ones online on Ancestry, from the LMA.
I do not know if it is complete for that area and parishes, but certainly there were plenty there for Hammersmith.