Praise be to Allah (The Glorified and Exalted).
You may start a conversation with her saying, "You know society has changed a lot in modern times. The same values concerning family and religion are not held by the majority of people anymore. I have kids and I would dislike to see them grow older and disobey or mistreat myself or my husband, as you see becoming rampant among the young generations. I would also like for them to grow up with a love or God. You know, in Islam, having a strong family relationship centered around God is very important. Then you may say (give a brief description of God) God is: the Supreme Being, unique, unlike any man, All-Knowing, Omnipotent, does not sleep, feel any sense of fatigue, and is the only object of worship and praise. All of one's prayers and worship are for God alone."
Then change to talking about the angels in Islam, by stating, "You know, I would love to see our children behave like angels, grateful to God, obeying Him, etc (see a description of the angels in a link below), in order to keep our children away from worldly vices."
After speaking about the angels say, "I wish the best for my children, and hope they succeed on the Day only God can provide for them." Then you may say, "Muslims also believe in Resurrection and a Day of Judgment, as well as Heaven and Hell." Then say to this person, "What do you think about these beliefs?" Don't be shy. If she says, "I believe that too." Then tell her, "well, you have the Islamic beliefs." Then offer her some more information about the continuity of prophethood, and talk about Jesus (peace be upon him) as a man and prophet of God, and how the Prophet Muhammad (peace and blessings of Allah be upon him) is the final messenger, that brought this message that you mentioned. When you start the conversation, keep going until you finish and do not wait for her to say much until you ask her the question.
Then you may offer her to come to your home, and visit the masjid (mosque) once together, get some Islamic books, Qur'an to read, etc. Tell her that if she needs help answering a question on certain Qur'anic verses, that you will help her find the answer. And then you may ask us, and we will help you find the correct answers.
Do not start the conversation about Islam, mentioning the arabic word for God, "Allah" or by speaking about the Prophet Muhammad (peace and blessings be upon him) because the people in your land are unfamiliar with that and may be turned off. So you may tell her later after what was mentioned, that the Arabic word for God is "Allah," similar to the Hebrew "Eloh" and the Aramaic that Jesus (peace be upon him) spoke, which was "Allaaha."
Links to help you:
1) Description of God, go to the bottom of the following thread and you will find an article titled, "Description of God":
http://www.turntoislam.com/forum/showthread.php?t=40837
2) Description of Angels:
http://www.turntoislam.com/forum/showthread.php?t=41052
3) Story of Jesus (peace be upon him):
http://www.turntoislam.com/forum/showthread.php?t=41420
*This also goes for other Muslims, you may start a conversation about Islam by asking a rhetoric question such as "What is the Purpose of Life?" And then speak about the description of Allah in Islam (which is KEY), and then talk about Adam, etc. You also try to find common values between yourself and the other person and then change the topic to start with a description of Allah. And yes, the Description of Allah (The Exalted) is everything. This the natural belief all humans have of God.
*Let us know how it goes.
And Allah Knows Best.