Are there any suggestions on how I can make this sentence sound and flow together better?My Mother; Karen was born in 1968. She was raised in...

It will be easy to make a few improvements in this
sentence because you have some great elements to work with.  First, let's do a review of
a few basic grammar and punctuation points, and then we can address ways to make the
sentence flow better.

The first area we need talk about is
the boundaries of a sentence. What you have right now is not one sentence, but two
sentences.  Notice that you have a period after "1968." Then you have a word that begins
with a capital letter and a new subject and verb.  So, that is a new
sentence.

Second, you are using semi-colons in a way that
does not help any of this to flow.  A semi-colon is mostly used to join two independent
clauses together. Here is an example for you:

readability="5">

I don't have much in the pantry that I can cook;
I think we should go out for
dinner.

Do you see how the
clauses on both sides of the semi-colon could stand on their own as sentences?  That is
the most common use for the semi-colon.

Now, if you want
this to be one sentence, you can do this without much difficulty simply with descriptive
phrases and a compound predicate.  Let's look at how to do each of
these.

The subject of the sentence is your mother.  So you
should certainly begin with that.   You can describe her in a descriptive phrase right
after her name, placing the information about her birthplace and birthdate in that
phrase, with commas to set the phrase off from the main parts of the sentence.  Let me
give you an example:

readability="7">

My grandfather William, born in Russia 1898, came
to this country as a young
child.

Do you see how I have
placed that information in a phrase, set off with commas, and then have gone on in the
sentence with more information? You can do this with more than one descriptive phrase,
too.  Here is another example:

readability="9">

My grandfather William, born in Russia in Moscow,
a very large city, came to this country as a young
child.

What I have done here
is include two descriptive phrases, each set off with
commas.

In order to provide the rest of the information you
want in your sentence, we need to look at how to use the verbs you need to have a
compound predicate.   All you need to do is not repeat the subject,"mother," add a
conjunction, and provide the rest of the information you need in the sentence.  Here is
an example of how I can use the example above to do
this:

My grandfather William, born in Russia in
Moscow, a very large city, came to this country as a young child and lived in New York
City with his family.

Notice that I did not repeat
the word "grandfather" in my sentence.  This subject covers the rest of the sentence,
too, just by adding "and" and the next verb.

You already
have some good descriptive phrases in the second part of the sentence, with the names of
your grandparents.  All you need to do is eliminate the semi-colons in that
section.

Often when we want to get lots of information in
one sentence, we can do this with descriptive phrases.  Making compound predicates
instead repeating a subject often can help the flow, too.