We do not have regularly scheduled Mass in Latin.  The nearest TLMs:

St. Joseph the Worker is a Latin Mass Parish in Tyler, Texas, is an apostolate of the Priestly Fraternity of Saint Peter. All Masses and Sacraments are offered in the Extraordinary Form of the Roman Rite.

Check out their website:   http://latinmasstyler.org/

The Basilica of the Immaculate Conception in Natchitoches has regularly scheduled Masses.

Here is a listing of all TLMs throughout the USA.

Prayers in Latin (with audio)

How to Pray in Latin | Traditional Catholic Prayers

Latin Mass Newcomers

His Holiness, Pope St. Pius X

Prayers in Latin

Signum Crucis – Sign of the Cross
In nomine Patris, et Filii, et Spiritus Sancti. Amen.

Oratio Dominica – The Lord’s Prayer
Pater noster, qui es in caelis, sanctificetur nomen tuum.
Adveniat regnum tuum.
Fiat voluntas tua, sicut in caelo et in terra.
Panem nostrum quotidianum da nobis hodie,
et dimitte nobis
debita nostra sicut et nos dimittimus debitoribus nostris.
Et ne nos inducas in tentationem,
sed libera nos a malo. Amen.

Doxologia Minor – Glory Be
Gloria Patri, et Filio, et Spiritui Sancto.
Sicut erat in principio,
et nunc, et semper, et in saecula saeculorum.
Amen.

Agnus Dei – Lamb of God
Agnus Dei, qui tollis peccata mundi:
miserere nobis.
Agnus Dei, qui tollis peccata mundi:
miserere nobis.
Agnus Dei, qui tollis peccata mundi:
dona nobis pacem.

Ave Maria – Hail Mary
Ave Maria, gratia plena, Dominus tecum.
Benedicta tu in mulieribus,
et benedictus fructus ventris tui, Iesus.
Sancta Maria, Mater Dei,
ora pro nobis peccatoribus, nunc,
et in hora mortis nostrae. Amen.

Anima Christi (Soul of Christ)
Anima Christi, sanctifica me.
Corpus Christi, salve me.
Sanguis Christi, inebria me.
Aqua lateris Christi, lava me.
Passio Christi, conforta me.
O bone Iesu, exaudi me.
Intra tua vulnera absconde me.
Ne permittas me separari a te.
Ab hoste maligno defende me.
In hora mortis meae voca me.
Et iube me venire ad te,
ut cum Sanctis tuis laudem te
in saecula saeculorum. Amen.