Q: Will first gen HD work in a newer iPod

The 1st gen iPod (from 2001) had a 5GB (or 10GB) hard drive.  The first 60GB iPod was 4th gen iPod ("photo" or "color display").  Maybe you can precisely ID your iPod from this list

http://www.everymac.com/systems/apple/ipod/index-ipod-specs.html

1st gen through 4th gen use the same type of 1.8-inch hard drive.  These hard drives start at 5GB and go as high as 60GB.  But not totally interchangeable, because each iPod "generation" design may have a total capacity limit.  For example, I replaced 5GB hard drive in a 1st gen iPod with 20GB hard drive.  That works.  But a 30GB hard drive does not.

5th gen iPod ("video") and later use a different type of hard drive, with a "ZIF" connector.  They are about the same size, but about 1/4" shorter (in longest dimension) compared to earlier hard drives.

The other consideration is hard drive "thickness."  There are two thicknesses, based on the number of platters in the hard drive.  The thin ones have one platter and the thick ones have two platters.  iPods have a thin or thick back (metal) half of casing, depending on the hard drive inside.  So, a thick hard drive does not fit in a thin iPod.

A 60GB hard drive is thick, if it's the earlier type of hard drive.  There is also a 5th gen iPod (later type of hard drive) with a 60GB hard drive (also thick).

What I'm actually saying is, I don't know, unless you identify your iPod model from that list of all iPod modeIs I linked to in previous reply.  Can't read your mind...

If it really has a 60GB hard drive, there are two possibilities.  It's a 4th gen iPod "photo" (also called "color display") or 5th gen iPod ("video").

If it's a 4th gen iPod, it uses the same type of hard drive as other 4th gen iPods.  But a 60GB hard drive is the thick kind, so the other iPod also needs to have the thick back casing (if you want to close the case).

Also, the maximum (stock) hard drive capacity for a monochrome screen 4th gen iPod is 40GB (thick kind).  It should work with a 60GB hard drive.  I replace the hard drive in my monochrome screen 4th gen iPod with a 64GB compact flash card (on an adapter), and it works.  But I don't have a 60GB hard drive, so I have not tried it myself.

What type of adapter do you have and where can you get one?

There are a fews ways you can do this.

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This adapter is the most straightforward, but it's been "out of stock" in a while.  Maybe they'll make/order some more if they get enough requests.

http://www.microsatacables.com/cf-to-50-pin-18-ide-adapter-with-case-cf-18ide-ca se

It comes with a "case" that goes around adapter and compact flash card to make it (about) the same size as iPod's stock 1.8-inch hard drive.  I say "about," because (oddly) it's about 1/4-inch shorter (along longest dimension), so I use some foam padding to prevent it coming loose in iPod.  The adapter has a master/slave switch (set to master for iPod use).

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This adapter is should also work, but I didn't buy from this company.

http://www.microsatacables.com/cf-to-50-pin-18-ide-adapter-cf-ide50-adp

I bought it (or one that looks similar) on eBay many years ago.  Not sure if it's exactly the same product.  It's cheaper and lower quality (but in stock).  You need to use more padding to take up excess space in iPod.  Also, master/slave setting is on a jumper, not a switch.  The jumper's pins stick straight up and may interfere with closing iPod's casing.  I bent them over 90º.  More work compared to first adapter.

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The other option (that I've tried) is more costly, but this source specializes in making adapters that are just for iPods.

https://www.iflash.xyz/

These iFlash adapters are actually for 5th gen and later iPods, but a 4th Gen iPod to iFlash Converter was recently added to online store.  I've been using the iFlash-CF adapter, and it works great in my 4th gen monochrome iPod (at 64GB).  The other iFlash adapters are for SD card (one or more), microSD card (one or more), and even mSATA card.  The only one I've tried is for compact flash card.  To be clear, you connect the 4th Gen iPod to iFlash Converter to your (4th gen) iPod's hard drive connection point, and then connect iFlash adapter.  Two adapters in a row.  (Ships from UK - Recommend using tracked shipping)

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For the first two above, you can also use an SD card instead of compact flash card.  SD cards seem to be less expensive.  There are SD card to compact flash adapters.  You need the thinner kind ("Type I"), like this one

https://www.amazon.com/DIGIGEAR-SLIM-CF-Adapter-WiFi-SD/dp/B00XO2KSEO

(With iFlash, get the one that uses SD card directly.)

I've only gone up to 64GB.  The compact flash card I have is from Kingston, this one

https://www.amazon.com/gp/product/B00DUAYIUU

There's no need to get one that's describe as being "super fast" and costs more; the iPod's stock hard drive is not very fast.  In fact, slower may use less power and give you better battery life.