My most sincere thank you to all who have given me this tremendous information so quickly!!! The four children (which include my Husband's Grandmother) are definitely the correct children and I suspect there were 2 Mothers. It would appear not married, but maybe Annie died in 1900 and our Rebecca who was born around 1901 was from this Agnes Hannah. I have tried the name Merrick, which both girls entered on their marriage records here in Canada, as the surname of their Mother, but who knows where that name comes from. I thought maybe it was the middle name of Mary or Agnes Hanna, but tried on ancestry with no luck. There is a death record for Emmanuel Pickering in 1909 from Blackburn, which I will try and get a copy of to see, if any family listed.
I did find a 1911 census record for the 2 girls who were staying with foster parents until 1913 when they left England, which was confirmed by my Husband's Mother, but before that, the thought of those girls and their brothers in a workhouse is so sad and upsetting to think of. Different time, cruel times, but I am going to try my best to find out all I can about Rebecca for my husband as he was very close to his Grandmother.
Thank you again. You are all the nicest people!!!
Cheers from Canada!