A little web research shows the following: Prior to 1992, this church was called "Our Lady of the Rosary Chapel". It was "owned" by an organization called "Traditional Roman Catholics, Inc."
I don't know a lot about "Traditional Roman Catholics, Inc." However, at their website, www.traditio.com, they have a "Q&A" feature with their "independent traditional priest" who essentially rejects the validity of the Mass of Pope Paul VI. According to St. Benedict's website, the chapel offers the Tridentine Mass in agreement with the Bishop of Richmond, under the Holy Father's allowance.
This represents a significant break with the "Traditional Roman Catholic, Inc." organization, as "Fr. Moderator" there seems to hold the "Indult Mass" in contempt.
The website's history of the church indicates that in the past, the chapel sometimes utilized the services of the priests of the Society of St. Pius V as well as those of the Society of St. Pius X. It is unclear whether this assistance was rendered only prior to 1992, when the church's status was regularized, and brought into communion with the Catholic Church. I think that their assistance was terminated after the church was brought back into communion with Rome.
The website further indicates that they currently receive, or will receive in the near future, assistance from the Priestly Fraternity of St. Peter.
Thus, today, and even five years ago, this parish was in communion with the Catholic Church, though it is a Tridentine Rite parish.
But prior to 10 years ago, this parish was run in a way that placed itself outside of communion with Rome, and though it appears that it was not organically a part of the SSPX, it's clear that it was closely tied thereto.
The parish's website is: www.stbenedict-chesapeake.com.
sitetest
Bishop Sullivan is an odd duck. I've met him a few times; he's really nice; easy to get along with. That's his problem: he's just so friggin' nice. He allows the Tridentine Mass, but he also allows the Goofball Mass (St. Stephen, Martyr Parish, also in Chesapeake is ... interesting), and everything in between. He exercises no leadership or Episcopal control whatsoever that I am aware of. He has also created an huge 'priest shortage'.
AB
The parish's website is: www.stbenedict-chesapeake.com.
You're right about 10 years ago but today they are thoroughly orthodox and in full communion with Rome, and are a great bunch of people. There is still a group that splintered from this group when they mended their differences with the Bishop.