Logo Design

Information for the business: chiropractic
Industry: Healthcare
Ideas for the visual style: Open to anything, cool and trendy not old fashioned
Preferred colors: main colour of blue
Where the design will be used: everywhere
Extra notes: This is difficult. Anyone up to the challenge?
We have 2 chiropractic clinics but both different names and we need to connect them without losing their individual names.
Both chiropractic clinics
1) Fordingbridge Chiropractic Clinic
2) Castle Lane Chiropractic Clinic
Clinics not in the same town.
Any idea of a logo that could suit both? rather than having 2 sets of business cards, 2 sets of company leaflets etc.
Owner not happy to change company name to one.
You can be as creative as you want.
First step logo. Second step business cards. Third step company literature etc
Need to be able to submit revisions
and will need final files so that we can edit for future.