Apostrophize, v. t., [imp. & p. p. Apostrophized; p. pr. & vb. n. Apostrophizing.]
1. To address by apostrophe.
2. To contract by omitting a letter or letters; also, to mark with an apostrophe (') or apostrophes.
1 other Webster entry under this spelling
Apostrophize, v. i.
To use the rhetorical figure called apostrophe.
Shades of meaning
Fernald has no entry of its own for apostrophize; he lists it under address.
Where he writes about it:
To apostrophize is to solemnly address some person or personified attribute apart from the audience to whom one is speaking; as, a preacher may apostrophize virtue, the saints of old, or even the Deity. — from address