Who is the artist of this? Titled "Grandma's Darling"

"Grandma's Darling" is a popular title for art pieces, particularly around 1880-1910.

Your piece is obviously contemporary. Is it a lithograph or an art print?

There's a border around the art which makes me think three things:
1. This is a lithograph of a piece which has been cropped.
2. This is the form of the piece the way the artist wanted it.
3. This is a test print.

I haven't been able to make out the letters in the lower right. Can you post them for me?

I'm thinking Russian or Ukraine.

Looks like it says "REMT" maybe "REMP" or "REMR" it gets cut off.
I didn't even notice those letters!
On the back there is a note from whomever had it before, and it does look like Russian or Ukrainian writing. I have no idea what it says though, I don't speak those languages.
I believe it is just a print that I have.

How about a photo of the note, and a close up of the signature?

IF its a name artist, IF its an art print or test print, I'm seeing $250 - $500.

I think as a random art print as it is you're looking at $125 - $150. Framed will add another $100 - $125.