Hi SandraI am researching the Clarke Family from the Broad Street, Ladywood Area. Last member known about was Samuel Clarke who in 1926 was the informant on his mother, Elizabeth's death certificate, and was living in Bridge Street West at the time.
I don't think there's any connection, but you never know. My Samuel was born in 1875 and his father was John Thomas Clarke, a tube drawer, who died in 1891. There's some similar names but the dates are too early for yours. My father, Albert Clarke, was brought up in Marston Green Orphanage so it's been hard for me also to piece together any information about the family.
Good hunting!