First, let's say this is a loaded question that needs a well thought out answer (and a developed one). Most of all, remember this: if someone says there's a free website, it most likely isn't going to be a website. It will likely be a subdomain. This can be harder to rank on Google and very likely carries the domain's domain score along with it.
Also, if it truly is free for you, it likely costs someone else. However, you can get good website hosting for $4 per month, it's just that you would have to know how to do plugin updates if you're using Wordpress (another key point is that there is a difference between wordpress.com and wordpress.org - when you think of Wordpress, it's usually wordpress.org that you're thinking of).
So, to answer the question directly, yes you can find companies that offer free websites, but very likely the website won't come with HTTPS security or be easy to edit.
The best place to look is to get a free Weebly website (which is actually a subdomain (e.g. mychurchname.weebly.com). This is 100% free and does have generally what you need for a website. The main thing is it isn't .com but rather is .weebly.com, making it harder to remember. There are simple website platforms (such as Weebly) that let you get a website for under $20 per month with just about everything you'd need (especially if you decide to use PayPal to receive online donations instead of paying monthly for an online donation service).
Website domains cost usually between $10 and $20 per year (and companies such as GoDaddy usually have cheaper deals if it's your first website domain with them or for the first year of a new website domain). If you choose to do everything on your own, you could expect to end up paying around $20 per month ($18 per month for Weebly and around the equivalent of $2/month charged annually for the website domain).
While Weebly is very easy to learn, you may not have someone at the Church who knows how to create a website, and your website will be the first thing people may see from your Church before they come to visit you (and the appearance of your website is very important to some people).
If you'd like your website kept up without falling into a trap of paying a website designer hourly, we'd love to create, host, and edit your website for you. We're not the cheapest website designer, but you'll also know how much we are going to charge you each month, as our monthly price includes both hosting and updates/edits. Contact us if you'd like to learn more about how we can help you build and upkeep your Church website.
FaithVenture Media is a website design agency for Evangelical Churches and ministries. We offer website design at a monthly price and don't charge per hour for edits.