Label the sentence parts. s = subject; v = verb; sc = subject complement; io = indirect object; do = direct object; oc = objective complement. the abbreviation should be typed above the main word for each part. the = president = declared = the = prisoner = a = free = man =the = innkeeper = gave = us = warm = bedding =the = effect = of = kindess = is = usually = kindness = in = return = the = company = provides = technical = support =

So, it's important to know what each of the terms mean first.
Subject: a subject is the noun that is doing something. To find it, you could ask what did that? For instance, if I said: The girl went to school. You could ask: Who went to school. The girl did. Therefore, girl would be the subject

Verb: a verb is an action that is taken. It is what the subject is doing. The question that you could ask to find it is what did [the subject] do. If I said, I went to the store. The verb would be went because that's what I did.

Subject Complement: the subject that follows the linking verb (the verb in the sentence). So when I stated I went to the store, the subject would be me, the verb would be went, and the store would be the subject complement.

Indirect Object: this one is a little bit harder in that it is a subject/object who is referred to but usually not there taking part in direct action. So, for instance, someone receiving something would be an indirect object. If you said, I talked to him, he would be the indirect object. Typically an indirect object has a connective part such as to, by, with.  

Direct Object: Similar to an indirect object, save for the fact that the subject is directly following the verb. I built it with him, it would be the direct object. 

Objective Complement: changes the meaning of a noun. Similar to an adjective and it can be an adjective, but it is typically a noun that modifies another noun. 

Answers
The = (this is technically called a definite article, so none of the above)President = Sdeclared = Vthe = n/aprisoner = IOa = (another article)free = OCman = DO
The = n/ainnkeeper = Sgave = Vus = DOwarm = OCbedding = SC
The = n/aeffect = Sof = n/akindess = OCis = Vusually = OCkindness = SCin = n/areturn = OC
The = n/acompany = Sprovides = Vtechnical = OCsupport = DO