Luke
Luke 1:40ESV·traditional attribution

and she entered the house of Zechariah and greeted Elizabeth.

Matthew Henry Presbyterian @wholebiblehenry

We have here an interview between the two happy mothers, Elisabeth and Mary: the angel, by intimating to Mary the favour bestowed on her cousin Elisabeth (Luk 1:36), gave occasion for it; and sometimes it may prove a better piece of service that we think to bring good people together, to compare notes. Here is, I. The visit which Mary made to Elisabeth.

Commenting on Luke 1:39-56

John Gill Reformed Baptist @doctorgill

And entered into the house of Zacharias, &c. Which was in the above city, and might be well known to her: and saluted Elisabeth; not Zacharias; either because he was not at home; or because he was deaf and dumb, and could neither hear her salutation, nor return it; or because it was not usual for women to salute men, nor men to salute women...

Albert Barnes Presbyterian @notesbybarnes

Verse 40. Saluted Elisabeth. Expressed great joy and gratification at seeing her, and used the customary tokens of affectionate salutation.