I decided to do a little research on the meaning of the name Skibbe. The only information I have located so far is:
North German: from Sorbian skiba ‘slice of bread’, perhaps a nickname for a poor person.
I found this information athttp://www.answers.com/topic/skibbe. Please let me know if anyone else can come up with anything. My Skibbe's do hide - maybe because no one knows the origin of their surname.