There could be a connection, but I don't have enough information to confirm it.
I don't have names for John Beck's siblings.His father was Caleb Beck, born in MD in about 1776.According to the PA 1810 Census, Caleb Beck lived in Bedford County, Bedford Twp, PA.Father of three boys and one girl all under the age of ten.
Elizabeth Taylor's father and brother are both named Joshua Taylor.They were from MD.
Have you tried a search at familysearch.com?I found your Daniel Beck/Anna Taylor marriage record.I also found a record for a Daniel Beck/Rosanna Taylor marriage.
Good luck in your search.If you find anything interesting, you can e mail me at email@example.com.