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Yes, I understand it is a different lady. However, the two may be related, as IHM is an unusual name. I did a little checking of my own and found this second IHM was born in County Angus (Monifieth), near Dundee, in 1911 to Jonathan Mann and Sarah Amelia R Henderson. I also checked the 1911 Scottish Census and found there is one Isabella Finke listed in Shotts, Lanarkshire, but she is age 52 (a discrepency with the birthdate of 1878 that you gave!). Also, there is no one by the name of Mann listed with her, unless her brother had a different surname altogether. There is something that doesn't fit here. Perhaps you could state the source of your 1911 Census information, as I may have read something wrong.
It is always a challenge to differentiate genuine facts from family lore when trying to locate individuals in genealogical research I find. I assume IHM is her birth name and is it possible she had other marriages beyond Finke?