The girl running in the wood is my sister.
In the above sentence,
1. The girl running in the wood
2. Running in the wood
3. In the wood
What types of phrases are these?
The girl running in the wood is a noun phrase headed by the noun girl, which has the as a determiner and running in the wood as a modifier.
Running in the wood is a participle phrase (in some grammatical sects a gerund-participle phrase or clause) headed by the present participle (in some grammatical sects the gerund-participle), which is modified by in the wood.
In the wood is a preposition phrase headed by the preposition in with the noun phrase the girl as its object (in some grammatical sects its oblique).