Dote (verb)

1. To show excessive affection or fondness for someone.
2. To be excessively or foolishly fond of someone or something.
3. To be excessively preoccupied with something or someone.

Origin:

From the old english word dōn, meaning to bestow love or favor, or to be foolish.

Examples:

1. She doted on her grandchildren and spent all her time with them.
2. He doted on his wife and always went out of his way to make her happy.
3. The parents doted on their only child.
4. She doted on her collection of porcelain dolls.
5. He doted on his garden and spent hours tending to it every day.