I did not find a Frederick in my Alchin line. It is an auxiliary line to my grandmother. My 1c1r (cousin) married into the line in Michigan. A number of my family members are buried in the Alchin Cemetery on Alchin farm in Webberville, Ingham Co. MI.
The earliest Alchin I have is William in England. His son is found in US census...Leroy twp, Ingham, MI.
It's a fun line to search as they were instrumental in settling the area.
Please tell me some surrounding family to your Frederick. It might help me connect us.