BruceM:
I was planning on using two 5v 30mA solar panels in parallel to equal 5vdc @ 60mA.A) is that sufficient to charge the battery? (batt # 503759)
Probably not, although you should have provided details of the battery rather than expecting people to use Google to find out its characteristics. The solar panels might well give you 5V @ 60mA in ideal full sun conditions, but for a practical output assume its going to be between 25% and 33% of the best case value. So you tell us, is 20mA enough to charge the battery in a reasonable amount of time? It really depends on how much the discharge rate is, and you dont say.
B) I've read that with a 3.7vdc power supply that you don't really need to use a voltage regulator on a 3.3vdc system and the battery can be connected directly to the VCC pin on the proMini
A fully charged LiPo is 4.2V, not 3.7V. So whether you can connect the 4.2V direct to the VCC of the Pro Mini (after removing the regulator) rather depends on what other stuff you are connecting to the Pro Mini and you did mention that either.[/quote]
Using a LiPo in a wearable product should only really be done if you have a good amount of experience and a full appreciation of what you need to do to make sure the LiPo is safe and stays safe over extended use. You have not mentioned what you are going to do to ensure the wearable device turns itself off if the LiPo voltage falls to around 3.3v.
Remember LiPos can and do explode if you dont use them properly, so I would recommend you use a safer alternative.