Some additional info that I forgot to include in my initial response. There were several other Families with the Hand surname in Lorain County in 1850. They were:
Enoch Hand, Rochester Twp. microfilm page 612 Julia Hand, Russia Twp. microfilm page 510 Syria Hand, Huntington Twp. microfilm page 630 Titus H. Hand, Grafton Twp. microfilm page 911
Rochester and Huntington Townships both are adjacent toBrighton Township, for whatever that is worth. If you have any interest in any of these people, let me know, and I will be glad to check the microfilm the next time that I am at the library.