Hello is the william boucher in 1901 census born 1900 in west brom described as a visitor age 8 months living in lyndon west bromwich him? Strange enough he's with a john and emily williams. Think it must be him and if you have n't looked at 1911 for him, you my want to look at it. It may be worth looking at church records for the baptism, all saints west bromwich is up the road , there are a few others local and quite a few of the little non conformist churches, how much info would be in i don't know.