[Margaret Pilkington]

Like Cashy, I have not heard of Wadington street.
I have looked at the christening records of John W Walsh and it is quite hard to decipher, but it does look like Wadington street.
On the 1901 census the family are living in Stanley street......this is not too far from Washington street. (I think that Wadington would be spelt with two D's too)
So maybe this is a written error due to the transcriber having misheard.
I can't find anything that relates to Wadington Street(there is a Waddington Road Not sure if these are new houses)......I have looked at some old maps of Accrington too and cannot find anything on there either, but I am happy to be corrected if anyone knows better.