Research Notes:
Peter Albert was named as a son of John and Regina Albert. [1]
The will of Albert married to Regina has name Philip Albert, Philip Mt. Joy Twp. October 6, 1777 October 7, 1780. Wife: Regina Albert. Children: John, Catharine, Susanna, Philip, Barbara and Peter. Ex.: John Huber and Martin Nisley. [2]
Note that George Albert is not a son, so any link to George Albright born 1771 is unlikely.
[1] Louise Redfern Pells, Frances Redfearn Family (1982), 403.
[2] USGenWeb, Lancaster County, Pennsylvania Will Abstracts, [USGenWeb].