Lets talk about American law.
James Madison had this to say about the common law:
The great mass of suits in every State lie between Citizen & Citizen, and relate to matters not of federal cognizance. . . . What can he mean by saying that the Common law is not secured by the new constitution, though it has been adopted by the State Constitutions. The common law is nothing more than the unwritten law, and is left by all the constitutions equally liable to legislative alterations. I am not sure that any notice is particularly taken of it in the Constitutions of the States. If there is, nothing more is provided than a general declaration that it shall continue along with other branches of law to be in force till legally changed. The constitution of Virga. drawn up by Col Mason himself, is absolutely silent on the subject. An ordinance passed during the same Session, declared the Common law as heretofore & all Statutes of prior date to the 4 of James I. to be still the law of the land, merely to obviate pretexts that the separation from G. Britain threw us into a State of nature, and abolished all civil rights and Obligations. Since the Revolution every State has made great inroads & with great propriety in many instances on this monarchical code. The "revisal of the laws" by a Committe[e] of wch. Col. Mason was a member, though not an acting one, abounds with such innovations. The abolition of the right of primogeniture, which I am sure Col. Mason does not disapprove, falls under this head. What could the Convention have done? If they had in general terms declared the Common law to be in force, they would have broken in upon the legal Code of every State in the most material points: they wd. have done more, they would have brought over from G.B. a thousand heterogeneous & antirepublican doctrines, and even the ecclesiastical Hierarchy itself, for that is a part of the Common law. If they had undertaken a discrimination, they must have formed a digest of laws, instead of a Constitution.
Apparently the Monarchical based "common law" was not a factor in deciding who would be American Citizens.
http://press-pubs.uchicago.edu/founders/documents/a3_2_1s10.html
I am not talking about English common law specifically. I am use the phrase in the general sense.
Two different systems of justice developed in Europe:
1. In one system the judges were given the power to interpret the law as they saw fit.
2. In the other, the judge was expected to rule with deference to precedence and case law.
The second is refered to as a Common Law System. That is the type of justice system America has.