Is Beta Theta Pi our father fraternity?

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I hope I am not intruding but I was always under the interpretation that there was a brother/sister fraternal link with Theta. We were told that Theta founder Bettie's father had aided in the writings of the Theta ritual as well as incorporated some Beta ritual into it.
We had a Theta from Penn come not too long ago and she had identified herself as from "your sister sorority." (we havent had Theta here at San Jose State for 30+ yrs so most brothers in our chapter aren't too familiar with them, but there is a Theta chapter at a nearby univ).
Whether it's true or not I do not know but upon hearing the news I thought it pretty cool and was honored to have one of our alumni to be somehow affiliated in the history of a well-represented organization

Take care-

Vik