The difference between name for and name after is as follows:
1. The concepts of the two are different:
name for means to give a name to someone, Focus on the named object (person). For example: name for Lily. Give lily a name.
Name after means the name given, focusing on the name given. This is the habit of foreigners who are willing to give (inherit) the names of their elders to their children. For example: name after Lily. Inherit the name of the elder and directly choose Lily as the name
2. There are differences in the regions where the two are used:
name for often appears in American English. Used more frequently by Americans.
Name after often appears in British English and is used more frequently by British people.
Extended information
1. The usage of for:
1. It means "as, as". Such as milk for breakfast. Treat milk as breakfast.
2. Express reasons and reasons. It means "because of, because of".
3. Indicate time and distance. It means "reaching and calculating".
4. Indicate affiliation and purpose. It means "for, suitable for...".
5. Indicates the object and recipient of the action. It means "to... (for)", "to...".
6. Express purpose and destination. It means "to, take, buy, go" etc.
2. The usage of after:
1. Used in idioms after all. It means eventually, after all.
1. Used as a preposition. When used with a period of time, it means "after...?".
2. Used as an adverb. It means "later", "(a period of time) later". Usually placed after an adverb expressing time.