What are the uses of names as verbs? What are some examples?

1) Give a name; Give ... a name, such as the two sentences you mentioned:

Tom named his pet kitten Happy.

Tom named his pet cat Happy. )

Peter named his model a theme park.

Peter named his model heaven. )

She decided to name the child Edward.

She decided to name the child Edward. )

2) Confirmed name ...; Give the correct name of.

The deceased was named John McIntosh.

The deceased was identified as John McIntosh. )

3) Address by title (or nickname); Give a title to. For example, you mentioned that Peter named his model heaven.

Peter was nominated as the best student of the year.

Peter won the title of the best student of the year. )

4) mention; Quote.

This park is named in the novel.

This park is mentioned in the novel. )

5) agree; Decide (quantity, time or place)

The club asked Tom to name the goalkeeper's price.

The club has asked Tom to finalize the goalkeeper's price.